Quasilinear Hyperbolic Conservation Laws with Relaxation

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南开大学光学工程专业英语重点词汇汇总

光学专业英语部分refraction [rɪˈfrækʃn]n.衍射reflection [rɪˈflekʃn]n.反射monolayer['mɒnəleɪə]n.单层adj.单层的ellipsoid[ɪ'lɪpsɒɪd]n.椭圆体anisotropic[,ænaɪsə(ʊ)'trɒpɪk]adj.非均质的opaque[ə(ʊ)'peɪk]adj.不透明的；不传热的；迟钝的asymmetric[,æsɪ'metrɪk]adj.不对称的；非对称的intrinsic[ɪn'trɪnsɪk]adj.本质的，固有的homogeneous[,hɒmə(ʊ)'dʒiːnɪəs;-'dʒen-] adj.均匀的；齐次的；同种的；同类的，同质的incidentlight入射光permittivity[,pɜːmɪ'tɪvɪtɪ]n.电容率symmetric[sɪ'metrɪk]adj.对称的；匀称的emergentlight出射光；应急灯.ultrafast[,ʌltrə'fɑ:st,-'fæst]adj.超快的；超速的uniaxial[,juːnɪ'æksɪəl]adj.单轴的paraxial[pə'ræksɪəl]adj.旁轴的；近轴的periodicity[,pɪərɪə'dɪsɪtɪ]n.[数]周期性；频率；定期性soliton['sɔlitɔn]n.孤子，光孤子；孤立子；孤波discrete[dɪ'skriːt]adj.离散的，不连续的convolution[,kɒnvə'luːʃ(ə)n]n.卷积；回旋；盘旋；卷绕spontaneously:[spɒn'teɪnɪəslɪ] adv.自发地；自然地；不由自主地instantaneously:[,instən'teinjəsli]adv.即刻；突如其来地dielectricconstant[ˌdaiiˈlektrikˈkɔnstənt]介电常数，电容率chromatic[krə'mætɪk]adj.彩色的；色品的；易染色的aperture['æpətʃə;-tj(ʊ)ə]n.孔，穴；（照相机，望远镜等的）光圈，孔径；缝隙birefringence[,baɪrɪ'frɪndʒəns]n.[光]双折射radiant['reɪdɪənt]adj.辐射的；容光焕发的；光芒四射的; photomultiplier[,fəʊtəʊ'mʌltɪplaɪə]n.[电子]光电倍增管prism['prɪz(ə)m]n.棱镜；[晶体][数]棱柱theorem['θɪərəm]n.[数]定理；原理convex['kɒnveks]n.凸面体；凸状concave['kɒnkeɪv]n.凹面spin[spɪn]n.旋转；crystal['krɪst(ə)l]n.结晶，晶体；biconical[bai'kɔnik,bai'kɔnikəl] adj.双锥形的illumination[ɪ,ljuːmɪ'neɪʃən] n.照明；[光]照度；approximate[ə'prɒksɪmət] adj.[数]近似的；大概的clockwise['klɒkwaɪz]adj.顺时针方向的exponent[ɪk'spəʊnənt；ek-] n.[数]指数；even['iːv(ə)n]adj.[数]偶数的；平坦的；相等的eigenmoden.固有模式；eigenvalue['aɪgən,væljuː]n.[数]特征值cavity['kævɪtɪ]n.腔；洞，凹处groove[gruːv]n.[建]凹槽，槽；最佳状态；惯例；reciprocal[rɪ'sɪprək(ə)l]adj.互惠的；相互的；倒数的，彼此相反的essential[ɪ'senʃ(ə)l]adj.基本的；必要的；本质的；精华的isotropic[,aɪsə'trɑpɪk]adj,各向同性的；等方性的phonon['fəʊnɒn]n.[声]声子cone[kəʊn]n.圆锥体，圆锥形counter['kaʊntə]n.柜台；对立面；计数器；cutoff['kʌt,ɔːf]n.切掉；中断；捷径adj.截止的；中断的cladding['klædɪŋ]n.包层；interference[ɪntə'fɪər(ə)ns]n.干扰，冲突；干涉borderline['bɔːdəlaɪn]n.边界线，边界；界线quartz[kwɔːts]n.石英droplet['drɒplɪt]n.小滴，微滴precision[prɪ'sɪʒ(ə)n]n.精度，[数]精密度；精确inherently[ɪnˈhɪərəntlɪ]adv.内在地；固有地；holographic[,hɒlə'ɡræfɪk]adj.全息的；magnitude['mægnɪtjuːd]n.大小；量级；reciprocal[rɪ'sɪprək(ə)l]adj.互惠的；相互的；倒数的，彼此相反的stimulated['stimjə,letid]v.刺激（stimulate的过去式和过去分词）cylindrical[sɪ'lɪndrɪkəl]adj.圆柱形的；圆柱体的coordinates[kəu'ɔ:dineits]n.[数]坐标；external[ɪk'stɜːn(ə)l;ek-]n.外部；外观；scalar['skeɪlə]n.[数]标量；discretization[dɪs'kriːtaɪ'zeɪʃən]n.[数]离散化synthesize['sɪnθəsaɪz]vt.合成；综合isotropy[aɪ'sɑtrəpi]n.[物]各向同性；[物]无向性；[矿业]均质性pixel['pɪks(ə)l;-sel]n.（显示器或电视机图象的）像素（passive['pæsɪv]adj.被动的spiral['spaɪr(ə)l]n.螺旋；旋涡；equivalent[ɪ'kwɪv(ə)l(ə)nt]adj.等价的，相等的；同意义的; transverse[trænz'vɜːs;trɑːnz-;-ns-]adj.横向的；横断的；贯轴的;dielectric[,daɪɪ'lektrɪk]adj.非传导性的；诱电性的;n.电介质；绝缘体integral[ˈɪntɪɡrəl]adj.积分的；完整的criteria[kraɪ'tɪərɪə]n.标准，条件（criterion的复数）Dispersion:分散|光的色散spectroscopy[spek'trɒskəpɪ]n.[光]光谱学photovoltaic[,fəʊtəʊvɒl'teɪɪk]adj.[电子]光电伏打的，光电的polar['pəʊlə]adj.极地的；两极的；正好相反的transmittance[trænz'mɪt(ə)ns;trɑːnz-;-ns-] n.[光]透射比；透明度dichroic[daɪ'krəʊɪk]adj.二色性的；两向色性的confocal[kɒn'fəʊk(ə)l]adj.[数]共焦的；同焦点的rotation[rə(ʊ)'teɪʃ(ə)n]n.旋转；循环，轮流photoacoustic[,fəutəuə'ku:stik]adj.光声的exponential[,ekspə'nenʃ(ə)l]adj.指数的;fermion['fɜːmɪɒn]n.费密子（费密系统的粒子）semiconductor[,semɪkən'dʌktə]n.[电子][物]半导体calibration[kælɪ'breɪʃ(ə)n]n.校准；刻度；标度photodetector['fəʊtəʊdɪ,tektə]n.[电子]光电探测器interferometer[,ɪntəfə'rɒmɪtə]n.[光]干涉仪；干涉计static['stætɪk]adj.静态的；静电的；静力的;inverse相反的，反向的，逆的amplified['æmplifai]adj.放大的；扩充的horizontal[hɒrɪ'zɒnt(ə)l]n.水平线，水平面；水平位置longitudinal[,lɒn(d)ʒɪ'tjuːdɪn(ə)l;,lɒŋgɪ-] adj.长度的，纵向的；propagate['prɒpəgeɪt]vt.传播；传送；wavefront['weivfrʌnt]n.波前；波阵面scattering['skætərɪŋ]n.散射；分散telecommunication[,telɪkəmjuːnɪ'keɪʃ(ə)n] n.电讯；[通信]远程通信quantum['kwɒntəm]n.量子论mid-infrared中红外eigenvector['aɪgən,vektə]n.[数]特征向量；本征矢量numerical[njuː'merɪk(ə)l]adj.数值的；数字的ultraviolet[ʌltrə'vaɪələt]adj.紫外的；紫外线的harmonic[hɑː'mɒnɪk]n.[物]谐波。

微积分专有名词中英文对照

微积分专有名词中英文对照absolutely convergent 绝对收敛absolute value 绝对值algebraic function 代数函数analytic geometry 解析几何antiderivative 不定积分approximate integration 近似积分approximation 近似法、逼近法arbitrary constant 任意常数arithmetic series/progression (AP)算数级数asymptotes (vertical and horizontal)(垂直/水平)渐近线average rate of change 平均变化率base 基数binomial theorem 二项式定理，二项展开式Cartesian coordinates 笛卡儿坐标(一般指直角坐标) Cartesian coordinates system 笛卡儿坐标系Cauch’s Mean Value Theorem 柯西均值定理chain rule 链式求导法则calculus 微积分学closed interval integral 闭区间积分coefficient 系数composite function 复合函数conchoid 蚌线continuity (函数的)连续性concavity (函数的)凹凸性conditionally convergent 有条件收敛continuity 连续性critical point 临界点cubic function 三次函数cylindrical coordinates 圆柱坐标decreasing function 递减函数decreasing sequence 递减数列definite integral 定积分derivative 导数determinant 行列式differential coefficient 微分系数differential equation 微分方程directional derivative 方向导数discontinuity 不连续性discriminant (二次函数)判别式disk method 圆盘法divergence 散度divergent 发散的domain 定义域dot product 点积double integral 二重积分ellipse 椭圆ellipsoid 椭圆体epicycloid 外摆线Euler's method (BC)欧拉法expected valued 期望值exponential function 指数函数extreme value heorem 极值定理factorial 阶乘finite series 有限级数fundamental theorem of calculus 微积分基本定理geometric series/progression (GP)几何级数gradient 梯度Green formula 格林公式half-angle formulas 半角公式harmonic series 调和级数helix 螺旋线higher derivative 高阶导数horizontal asymptote 水平渐近线horizontal line 水平线hyperbola 双曲线hyper boloid 双曲面implicit differentiation 隐函数求导implicit function 隐函数improper integral 广义积分、瑕积分increment 增量increasing function 增函数indefinite integral 不定积分independent variable 自变数inequality 不等式ndeterminate form 不定型infinite point 无穷极限infinite series 无穷级数infinite series 无限级数inflection point (POI) 拐点initial condition 初始条件instantaneous rate of change 瞬时变化率integrable 可积的integral 积分integrand 被积分式integration 积分integration by part 分部积分法intercept 截距intermediate value of Theorem ：中间值定理inverse function 反函数irrational function 无理函数iterated integral 逐次积分Laplace transform 拉普拉斯变换law of cosines 余弦定理least upper bound 最小上界left-hand derivative 左导数left-hand limit 左极限L'Hospital's rule 洛必达法则limacon 蚶线linear approximation 线性近似法linear equation 线性方程式linear function 线性函数linearity 线性linearization 线性化local maximum 极大值local minimum 极小值logarithmic function 对数函数MacLaurin series 麦克劳林级数maximum 最大值mean value theorem (MVT)中值定理minimum 最小值method of lagrange multipliers 拉格朗日乘数法modulus 绝对值multiple integral 多重积分multiple 倍数multiplier 乘子octant 卦限open interval integral 开区间积分optimization 优化法，极值法origin 原点orthogonal 正交parametric equation (BC)参数方程partial derivative 偏导数partial differential equation 偏微分方程partial fractions 部分分式piece-wise function 分段函数parabola 抛物线parabolic cylinder 抛物柱面paraboloid ：抛物面parallelepiped 平行六面体parallel lines 并行线parameter ：参数partial integration 部分积分partiton ：分割period ：周期periodic function 周期函数perpendicular lines 垂直线piecewise defined function 分段定义函数plane 平面point of inflection 反曲点point-slope form 点斜式polar axis 极轴polar coordinates 极坐标polar equation 极坐标方程pole 极点polynomial 多项式power series 幂级数product rule 积的求导法则quadrant 象限quadratic functions 二次函数quotient rule 商的求导法则radical 根式radius of convergence 收敛半径range 值域(related) rate of change with time (时间)变化率rational function 有理函数reciprocal 倒数remainder theorem 余数定理Riemann sum 黎曼和Riemannian geometry 黎曼几何right-hand limit 右极限Rolle's theorem 罗尔(中值)定理root 根rotation 旋转secant line 割线second derivative 二阶导数second derivative test 二阶导数试验法second partial derivative 二阶偏导数series 级数shell method (积分)圆筒法sine function 正弦函数singularity 奇点slant 母线slant asymptote 斜渐近线slope 斜率slope-intercept equation of a line 直线的斜截式smooth curve 平滑曲线smooth surface 平滑曲面solid of revolution 旋转体symmetry 对称性substitution 代入法、变量代换tangent function 正切函数tangent line 切线tangent plane 切(平)面tangent vector 切矢量taylor's series 泰勒级数three-dimensional analytic geometry 空间解析几何total differentiation 全微分trapezoid rule 梯形(积分)法则。

量子力学英语

量子力学英语
随着量子力学的发展和应用，许多新的概念和术语相继出现。

掌握量子力学英语不仅有利于学习和研究，还可以更好地沟通和交流。

以下是一些常用的量子力学英语词汇：
1. Quantum mechanics 量子力学
2. Wave function 波函数
3. Schrdinger equation 薛定谔方程
4. Uncertainty principle 不确定性原理
5. Superposition principle 叠加原理
6. Entanglement 纠缠
7. Quantum state 量子态
8. Eigenvalue 特征值
9. Eigenfunction 特征函数
10. Hamiltonian 哈密顿量
11. Operator 算符
12. Commutation relation 对易关系
13. Quantum tunneling 量子隧穿
14. Quantum entanglement 量子纠缠
15. Quantum superposition 量子叠加
以上是一些常用的量子力学英语词汇，学习量子力学英语需要不断积累和运用。

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[精彩]量子力学英语词汇

1、microscopic world 微观世界2、macroscopic world 宏观世界3、quantum theory 量子[理]论4、quantum mechanics 量子力学5、wave mechanics 波动力学6、matrix mechanics 矩阵力学7、Planck constant 普朗克常数8、wave-particle duality 波粒二象性9、state 态10、state function 态函数11、state vector 态矢量12、superposition principle of state 态叠加原理13、orthogonal states 正交态14、antisymmetrical state 正交定理15、stationary state 对称态16、antisymmetrical state 反对称态17、stationary state 定态18、ground state 基态19、excited state 受激态20、binding state 束缚态21、unbound state 非束缚态22、degenerate state 简并态23、degenerate system 简并系24、non-deenerate state 非简并态25、non-degenerate system 非简并系26、de Broglie wave 德布罗意波27、wave function 波函数28、time-dependent wave function 含时波函数29、wave packet 波包30、probability 几率31、probability amplitude 几率幅32、probability density 几率密度33、quantum ensemble 量子系综34、wave equation 波动方程35、Schrodinger equation 薛定谔方程36、Potential well 势阱37、Potential barrien 势垒38、potential barrier penetration 势垒贯穿39、tunnel effect 隧道效应40、linear harmonic oscillator线性谐振子41、zero proint energy 零点能42、central field 辏力场43、Coulomb field 库仑场44、δ-function δ-函数45、operator 算符46、commuting operators 对易算符47、anticommuting operators 反对易算符48、complex conjugate operator 复共轭算符49、Hermitian conjugate operator 厄米共轭算符50、Hermitian operator 厄米算符51、momentum operator 动量算符52、energy operator 能量算符53、Hamiltonian operator 哈密顿算符54、angular momentum operator 角动量算符55、spin operator 自旋算符56、eigen value 本征值57、secular equation 久期方程58、observable 可观察量59、orthogonality 正交性60、completeness 完全性61、closure property 封闭性62、normalization 归一化63、orthonormalized functions 正交归一化函数64、quantum number 量子数65、principal quantum number 主量子数66、radial quantum number 径向量子数67、angular quantum number 角量子数68、magnetic quantum number 磁量子数69、uncertainty relation 测不准关系70、principle of complementarity 并协原理71、quantum Poisson bracket 量子泊松括号72、representation 表象73、coordinate representation 坐标表象74、momentum representation 动量表象75、energy representation 能量表象76、Schrodinger representation 薛定谔表象77、Heisenberg representation 海森伯表象78、interaction representation 相互作用表象79、occupation number representation 粒子数表象80、Dirac symbol 狄拉克符号81、ket vector 右矢量82、bra vector 左矢量83、basis vector 基矢量84、basis ket 基右矢85、basis bra 基左矢86、orthogonal kets 正交右矢87、orthogonal bras 正交左矢88、symmetrical kets 对称右矢89、antisymmetrical kets 反对称右矢90、Hilbert space 希耳伯空间91、perturbation theory 微扰理论92、stationary perturbation theory 定态微扰论93、time-dependent perturbation theory 含时微扰论94、Wentzel-Kramers-Brillouin method W. K. B.近似法95、elastic scattering 弹性散射96、inelastic scattering 非弹性散射97、scattering cross-section 散射截面98、partial wave method 分波法99、Born approximation 玻恩近似法100、centre-of-mass coordinates 质心坐标系101、laboratory coordinates 实验室坐标系102、transition 跃迁103、dipole transition 偶极子跃迁104、selection rule 选择定则105、spin 自旋106、electron spin 电子自旋107、spin quantum number 自旋量子数108、spin wave function 自旋波函数109、coupling 耦合110、vector-coupling coefficient 矢量耦合系数111、many-partic le system 多子体系112、exchange forece 交换力113、exchange energy 交换能114、Heitler-London approximation 海特勒-伦敦近似法115、Hartree-Fock equation 哈特里-福克方程116、self-consistent field 自洽场117、Thomas-Fermi equation 托马斯-费米方程118、second quantization 二次量子化119、identical particles全同粒子120、Pauli matrices 泡利矩阵121、Pauli equation 泡利方程122、Pauli’s exclusion principle泡利不相容原理123、Relativistic wave equation 相对论性波动方程124、Klein-Gordon equation 克莱因-戈登方程125、Dirac equation 狄拉克方程126、Dirac hole theory 狄拉克空穴理论127、negative energy state 负能态128、negative probability 负几率129、microscopic causality 微观因果性本征矢量eigenvector本征态eigenstate本征值eigenvalue本征值方程eigenvalue equation本征子空间eigensubspace (可以理解为本征矢空间)变分法variatinial method标量scalar算符operator表象representation表象变换transformation of representation表象理论theory of representation波函数wave function波恩近似Born approximation玻色子boson费米子fermion不确定关系uncertainty relation狄拉克方程Dirac equation狄拉克记号Dirac symbol定态stationary state定态微扰法time-independent perturbation定态薛定谔方程time-independent Schro(此处上面有两点)dinger equati on 动量表象momentum representation角动量表象angular mommentum representation占有数表象occupation number representation坐标（位置）表象position representation角动量算符angular mommentum operator角动量耦合coupling of angular mommentum对称性symmetry对易关系commutator厄米算符hermitian operator厄米多项式Hermite polynomial分量component光的发射emission of light光的吸收absorption of light受激发射excited emission自发发射spontaneous emission轨道角动量orbital angular momentum自旋角动量spin angular momentum轨道磁矩orbital magnetic moment归一化normalization哈密顿hamiltonion黑体辐射black body radiation康普顿散射Compton scattering基矢basis vector基态ground state基右矢basis ket ‘右矢’ket基左矢basis bra简并度degenerancy精细结构fine structure径向方程radial equation久期方程secular equation量子化quantization矩阵matrix模module模方square of module内积inner product逆算符inverse operator欧拉角Eular angles泡利矩阵Pauli matrix平均值expectation value （期望值）泡利不相容原理Pauli exclusion principle氢原子hydrogen atom球鞋函数spherical harmonics全同粒子identical partic les塞曼效应Zeeman effect上升下降算符raising and lowering operator 消灭算符destruction operator产生算符creation operator矢量空间vector space守恒定律conservation law守恒量conservation quantity投影projection投影算符projection operator微扰法pertubation method希尔伯特空间Hilbert space线性算符linear operator线性无关linear independence谐振子harmonic oscillator选择定则selection rule幺正变换unitary transformation幺正算符unitary operator宇称parity跃迁transition运动方程equation of motion正交归一性orthonormalization正交性orthogonality转动rotation自旋磁矩spin magnetic monent(以上是量子力学中的主要英语词汇，有些未涉及到的可以自由组合。

统计学专业术语英汉词典

Absolutedeviation,绝对离差Absolutenumber,绝对数Absoluteresiduals,绝对残差Accelerationarray,加速度立体阵Accelerationinanarbitrarydirection,任意方向上的加速度Accelerationnormal,法向加速度Accelerationspacedimension,加速度空间的维数Accelerationtangential,切向加速度Accelerationvector,加速度向量Acceptablehypothesis,可接受假设Accumulation,累积Accuracy,准确度Actualfrequency,实际频数Adaptiveestimator,自适应估计量Addition,相加Additiontheorem,加法定理Additivity,可加性Adjustedrate,调整率Adjustedvalue,校正值Admissibleerror,容许误差Aggregation,聚集性Alternativehypothesis,备择假设Amonggroups,组间Amounts,总量Analysisofcorrelation,相关分析Analysisofcovariance,协方差分析Analysisofregression,回归分析Analysisoftimeseries,时间序列分析Analysisofvariance,方差分析Angulartransformation,角转换ANOVA（analysisofvariance）,方差分析ANOVAModels,方差分析模型Arcing,弧/弧旋Arcsinetransformation,反正弦变换Areaunderthecurve,曲线面积AREG,评估从一个时间点到下一个时间点回归相关时的误差ARIMA,季节和非季节性单变量模型的极大似然估计Arithmeticgridpaper,算术格纸Arithmeticmean,算术平均数Arrheniusrelation,艾恩尼斯关系Assessingfit,拟合的评估Associativelaws,结合律Asymmetricdistribution,非对称分布Asymptoticbias,渐近偏倚Asymptoticefficiency,渐近效率Asymptoticvariance,渐近方差Attributablerisk,归因危险度Attributedata,属性资料Attribution,属性Autocorrelation,自相关Autocorrelationofresiduals,残差的自相关Average,平均数Averageconfidenceintervallength,平均置信区间长度Averagegrowthrate,平均增长率Barchart,条形图Bargraph,条形图Baseperiod,基期Bayes'theorem,Bayes定理Bell-shapedcurve,钟形曲线Bernoullidistribution,伯努力分布Best-trimestimator,最好切尾估计量Bias,偏性Binarylogisticregression,二元逻辑斯蒂回归Binomialdistribution,二项分布Bisquare,双平方BivariateCorrelate,二变量相关Bivariatenormaldistribution,双变量正态分布Bivariatenormalpopulation,双变量正态总体Biweightinterval,双权区间BiweightM-estimator,双权M估计量Block,区组/配伍组BMDP(Biomedicalcomputerprograms),BMDP统计软件包Boxplots,箱线图/箱尾图Breakdownbound,崩溃界/崩溃点Canonicalcorrelation,典型相关Caption,纵标目Case-controlstudy,病例对照研究Categoricalvariable,分类变量Catenary,悬链线Cauchydistribution,柯西分布Cause-and-effectrelationship,因果关系Cell,单元Censoring,终检Centerofsymmetry,对称中心Centeringandscaling,中心化和定标Centraltendency,集中趋势Centralvalue,中心值CHAID-χ2AutomaticInteractionDetector,卡方自动交互检测Chance,机遇Chanceerror,随机误差Chancevariable,随机变量Characteristicequation,特征方程Characteristicroot,特征根Characteristicvector,特征向量Chebshevcriterionoffit,拟合的切比雪夫准则Chernofffaces,切尔诺夫脸谱图Chi-squaretest,卡方检验/χ2检验Choleskeydecomposition,乔洛斯基分解Circlechart,圆图Classinterval,组距Classmid-value,组中值Classupperlimit,组上限Classifiedvariable,分类变量Clusteranalysis,聚类分析Clustersampling,整群抽样Code,代码Codeddata,编码数据Coding,编码Coefficientofcontingency,列联系数Coefficientofdetermination,决定系数Coefficientofmultiplecorrelation,多重相关系数Coefficientofpartialcorrelation,偏相关系数Coefficientofproduction-momentcorrelation,积差相关系数Coefficientofrankcorrelation,等级相关系数Coefficientofregression,回归系数Coefficientofskewness,偏度系数Coefficientofvariation,变异系数Cohortstudy,队列研究Column,列Columneffect,列效应Columnfactor,列因素Combinationpool,合并Combinativetable,组合表Commonfactor,共性因子Commonregressioncoefficient,公共回归系数Commonvalue,共同值Commonvariance,公共方差Commonvariation,公共变异Communalityvariance,共性方差Comparability,可比性Comparisonofbathes,批比较Comparisonvalue,比较值Compartmentmodel,分部模型Compassion,伸缩Complementofanevent,补事件Completeassociation,完全正相关Completedissociation,完全不相关Completestatistics,完备统计量Completelyrandomizeddesign,完全随机化设计Compositeevent,联合事件Compositeevents,复合事件Concavity,凹性Conditionalexpectation,条件期望Conditionallikelihood,条件似然Conditionalprobability,条件概率Conditionallylinear,依条件线性Confidenceinterval,置信区间Confidencelimit,置信限Confidencelowerlimit,置信下限Confidenceupperlimit,置信上限ConfirmatoryFactorAnalysis,验证性因子分析Confirmatoryresearch,证实性实验研究Confoundingfactor,混杂因素Conjoint,联合分析Consistency,相合性Consistencycheck,一致性检验Consistentasymptoticallynormalestimate,相合渐近正态估计Consistentestimate,相合估计Constrainednonlinearregression,受约束非线性回归Constraint,约束Contaminateddistribution,污染分布ContaminatedGausssian,污染高斯分布Contaminatednormaldistribution,污染正态分布Contamination,污染Contaminationmodel,污染模型Contingencytable,列联表Contour,边界线Contributionrate,贡献率Control,对照Controlledexperiments,对照实验Conventionaldepth,常规深度Convolution,卷积Correctedfactor,校正因子Correctedmean,校正均值Correctioncoefficient,校正系数Correctness,正确性Correlationcoefficient,相关系数Correlationindex,相关指数Correspondence,对应Counting,计数Counts,计数/频数Covariance,协方差Covariant,共变CoxRegression,Cox回归Criteriaforfitting,拟合准则Criteriaofleastsquares,最小二乘准则Criticalratio,临界比Criticalregion,拒绝域Criticalvalue,临界值Cross-overdesign,交叉设计Cross-sectionanalysis,横断面分析Cross-sectionsurvey,横断面调查Crosstabs,交叉表Cross-tabulationtable,复合表Cuberoot,立方根Cumulativedistributionfunction,分布函数Cumulativeprobability,累计概率Curvature,曲率/弯曲Curvature,曲率Curvefit,曲线拟和Curvefitting,曲线拟合Curvilinearregression,曲线回归Curvilinearrelation,曲线关系Cut-and-trymethod,尝试法Cycle,周期Cyclist,周期性Dtest,D检验Dataacquisition,资料收集Databank,数据库Datacapacity,数据容量Datadeficiencies,数据缺乏Datahandling,数据处理Datamanipulation,数据处理Dataprocessing,数据处理Datareduction,数据缩减Dataset,数据集Datasources,数据来源Datatransformation,数据变换Datavalidity,数据有效性Data-in,数据输入Data-out,数据输出Deadtime,停滞期Degreeoffreedom,自由度Degreeofprecision,精密度Degreeofreliability,可靠性程度Degression,递减Densityfunction,密度函数Densityofdatapoints,数据点的密度Dependentvariable,应变量/依变量/因变量Dependentvariable,因变量Depth,深度Derivativematrix,导数矩阵Derivative-freemethods,无导数方法Design,设计Determinacy,确定性Determinant,行列式Determinant,决定因素Deviation,离差Deviationfromaverage,离均差Diagnosticplot,诊断图Dichotomousvariable,二分变量Differentialequation,微分方程Directstandardization,直接标准化法Discretevariable,离散型变量DISCRIMINANT,判断Discriminantanalysis,判别分析Discriminantcoefficient,判别系数Discriminantfunction,判别值Dispersion,散布/分散度Disproportional,不成比例的Disproportionatesub-classnumbers,不成比例次级组含量Distributionfree,分布无关性/免分布Distributionshape,分布形状Distribution-freemethod,任意分布法Distributivelaws,分配律Disturbance,随机扰动项Doseresponsecurve,剂量反应曲线Doubleblindmethod,双盲法Doubleblindtrial,双盲试验Doubleexponentialdistribution,双指数分布Doublelogarithmic,双对数Downwardrank,降秩Dual-spaceplot,对偶空间图DUD,无导数方法Duncan'snewmultiplerangemethod,新复极差法/Duncan新法Effect,实验效应Eigenvalue,特征值Eigenvector,特征向量Ellipse,椭圆Empiricaldistribution,经验分布Empiricalprobability,经验概率单位Enumerationdata,计数资料Equalsun-classnumber,相等次级组含量Equallylikely,等可能Equivariance,同变性Error,误差/错误Errorofestimate,估计误差ErrortypeI,第一类错误ErrortypeII,第二类错误Estimand,被估量Estimatederrormeansquares,估计误差均方Estimatederrorsumofsquares,估计误差平方和Euclideandistance,欧式距离Event,事件Event,事件Exceptionaldatapoint,异常数据点Expectationplane,期望平面Expectationsurface,期望曲面Expectedvalues,期望值Experiment,实验Experimentalsampling,试验抽样Experimentalunit,试验单位Explanatoryvariable,说明变量Exploratorydataanalysis,探索性数据分析ExploreSummarize,探索-摘要Exponentialcurve,指数曲线Exponentialgrowth,指数式增长EXSMOOTH,指数平滑方法Extendedfit,扩充拟合Extraparameter,附加参数Extrapolation,外推法Extremeobservation,末端观测值Extremes,极端值/极值Fdistribution,F分布Ftest,F检验Factor,因素/因子Factoranalysis,因子分析FactorAnalysis,因子分析Factorscore,因子得分Factorial,阶乘Factorialdesign,析因试验设计Falsenegative,假阴性Falsenegativeerror,假阴性错误Familyofdistributions,分布族Familyofestimators,估计量族Fanning,扇面Fatalityrate,病死率Fieldinvestigation,现场调查Fieldsurvey,现场调查Finitepopulation,有限总体Finite-sample,有限样本Firstderivative,一阶导数Firstprincipalcomponent,第一主成分Firstquartile,第一四分位数Fisherinformation,费雪信息量Fittedvalue,拟合值Fittingacurve,曲线拟合Fixedbase,定基Fluctuation,随机起伏Forecast,预测Fourfoldtable,四格表Fourth,四分点Fractionblow,左侧比率Fractionalerror,相对误差Frequency,频率Frequencypolygon,频数多边图Frontierpoint,界限点Functionrelationship,泛函关系Gammadistribution,伽玛分布Gaussincrement,高斯增量Gaussiandistribution,高斯分布/正态分布Gauss-Newtonincrement,高斯-牛顿增量Generalcensus,全面普查GENLOG(Generalizedlinermodels),广义线性模型Geometricmean,几何平均数Gini'smeandifference,基尼均差GLM(Generallinermodels),通用线性模型Goodnessoffit,拟和优度/配合度Gradientofdeterminant,行列式的梯度Graeco-Latinsquare,希腊拉丁方Grandmean,总均值Grosserrors,重大错误Gross-errorsensitivity,大错敏感度Groupaverages,分组平均Groupeddata,分组资料Guessedmean,假定平均数Half-life,半衰期HampelM-estimators,汉佩尔M估计量Happenstance,偶然事件Harmonicmean,调和均数Hazardfunction,风险均数Hazardrate,风险率Heading,标目Heavy-taileddistribution,重尾分布Hessianarray,海森立体阵Heterogeneity,不同质Heterogeneityofvariance,方差不齐Hierarchicalclassification,组内分组Hierarchicalclusteringmethod,系统聚类法High-leveragepoint,高杠杆率点HILOGLINEAR,多维列联表的层次对数线性模型Hinge,折叶点Histogram,直方图Historicalcohortstudy,历史性队列研究Holes,空洞HOMALS,多重响应分析Homogeneityofvariance,方差齐性Homogeneitytest,齐性检验HuberM-estimators,休伯M估计量Hyperbola,双曲线Hypothesistesting,假设检验Hypotheticaluniverse,假设总体Impossibleevent,不可能事件Independence,独立性Independentvariable,自变量Index,指标/指数Indirectstandardization,间接标准化法Individual,个体Inferenceband,推断带Infinitepopulation,无限总体Infinitelygreat,无穷大Infinitelysmall,无穷小Influencecurve,影响曲线Informationcapacity,信息容量Initialcondition,初始条件Initialestimate,初始估计值Initiallevel,最初水平Interaction,交互作用Interactionterms,交互作用项Intercept,截距Interpolation,内插法Interquartilerange,四分位距Intervalestimation,区间估计Intervalsofequalprobability,等概率区间Intrinsiccurvature,固有曲率Invariance,不变性Inversematrix,逆矩阵Inverseprobability,逆概率Inversesinetransformation,反正弦变换Iteration,迭代Jacobiandeterminant,雅可比行列式Jointdistributionfunction,分布函数Jointprobability,联合概率Jointprobabilitydistribution,联合概率分布Kmeansmethod,逐步聚类法Kaplan-Meier,评估事件的时间长度Kaplan-Merierchart,Kaplan-Merier图Kendall'srankcorrelation,Kendall等级相关Kinetic,动力学Kolmogorov-Smirnovetest,柯尔莫哥洛夫-斯米尔诺夫检验KruskalandWallistest,Kruskal及Wallis检验/多样本的秩和检验/H检验Kurtosis,峰度Lackoffit,失拟Ladderofpowers,幂阶梯Lag,滞后Largesample,大样本Largesampletest,大样本检验Latinsquare,拉丁方Latinsquaredesign,拉丁方设计Leakage,泄漏Leastfavorableconfiguration,最不利构形Leastfavorabledistribution,最不利分布Leastsignificantdifference,最小显著差法Leastsquaremethod,最小二乘法Least-absolute-residualsestimates,最小绝对残差估计Least-absolute-residualsfit,最小绝对残差拟合Least-absolute-residualsline,最小绝对残差线Legend,图例L-estimator,L估计量L-estimatoroflocation,位置L估计量L-estimatorofscale,尺度L估计量Level,水平Lifeexpectance,预期期望寿命Lifetable,寿命表Lifetablemethod,生命表法Light-taileddistribution,轻尾分布Likelihoodfunction,似然函数Likelihoodratio,似然比linegraph,线图Linearcorrelation,直线相关Linearequation,线性方程Linearprogramming,线性规划Linearregression,直线回归LinearRegression,线性回归Lineartrend,线性趋势Loading,载荷Locationandscaleequivariance,位置尺度同变性Locationequivariance,位置同变性Locationinvariance,位置不变性Locationscalefamily,位置尺度族Logranktest,时序检验Logarithmiccurve,对数曲线Logarithmicnormaldistribution,对数正态分布Logarithmicscale,对数尺度Logarithmictransformation,对数变换Logiccheck,逻辑检查Logisticdistribution,逻辑斯特分布Logittransformation,Logit转换LOGLINEAR,多维列联表通用模型Lognormaldistribution,对数正态分布Lostfunction,损失函数Lowcorrelation,低度相关Lowerlimit,下限Lowest-attainedvariance,最小可达方差LSD,最小显著差法的简称Lurkingvariable,潜在变量Main effect,主效应Major heading,主辞标目Marginal density function,边缘密度函数Marginal probability,边缘概率Marginal probability distribution,边缘概率分布Matched data,配对资料Matched distribution,匹配过分布Matching of distribution,分布的匹配Matching of transformation,变换的匹配Mathematical expectation,数学期望Mathematical model,数学模型Maximum L-estimator,极大极小L 估计量Maximum likelihood method,最大似然法Mean,均数Mean squares between groups,组间均方Mean squares within group,组内均方Means (Compare means),均值-均值比较Median,中位数Median effective dose,半数效量Median lethal dose,半数致死量Median polish,中位数平滑Median test,中位数检验Minimal sufficient statistic,最小充分统计量Minimum distance estimation,最小距离估计Minimum effective dose,最小有效量Minimum lethal dose,最小致死量Minimum variance estimator,最小方差估计量MINITAB,统计软件包Minor heading,宾词标目Missing data,缺失值Model specification,模型的确定Modeling Statistics ,模型统计Models for outliers,离群值模型Modifying the model,模型的修正Modulus of continuity,连续性模Morbidity,发病率Most favorable configuration,最有利构形Multidimensional Scaling (ASCAL),多维尺度/多维标度Multinomial Logistic Regression ,多项逻辑斯蒂回归Multiple comparison,多重比较Multiple correlation ,复相关Multiple covariance,多元协方差Multiple linear regression,多元线性回归Multiple response ,多重选项Multiple solutions,多解Multiplication theorem,乘法定理Multiresponse,多元响应Multi-stage sampling,多阶段抽样Multivariate T distribution,多元T分布Mutual exclusive,互不相容Mutual independence,互相独立Natural boundary,自然边界Natural dead,自然死亡Natural zero,自然零Negative correlation,负相关Negative linear correlation,负线性相关Negatively skewed,负偏Newman-Keuls method,q检验NK method,q检验No statistical significance,无统计意义Nominal variable,名义变量Nonconstancy of variability,变异的非定常性Nonlinear regression,非线性相关Nonparametric statistics,非参数统计Nonparametric test,非参数检验Nonparametric tests,非参数检验Normal deviate,正态离差Normal distribution,正态分布Normal equation,正规方程组Normal ranges,正常范围Normal value,正常值Nuisance parameter,多余参数/讨厌参数Null hypothesis,无效假设Numerical variable,数值变量Objective function,目标函数Observation unit,观察单位Observed value,观察值One sided test,单侧检验One-way analysis of variance,单因素方差分析Oneway ANOVA ,单因素方差分析Open sequential trial,开放型序贯设计Optrim,优切尾Optrim efficiency,优切尾效率Order statistics,顺序统计量Ordered categories,有序分类Ordinal logistic regression ,序数逻辑斯蒂回归Ordinal variable,有序变量Orthogonal basis,正交基Orthogonal design,正交试验设计Orthogonality conditions,正交条件ORTHOPLAN,正交设计Outlier cutoffs,离群值截断点Outliers,极端值OVERALS ,多组变量的非线性正规相关Overshoot,迭代过度Paired design,配对设计Paired sample,配对样本Pairwise slopes,成对斜率Parabola,抛物线Parallel tests,平行试验Parameter,参数Parametric statistics,参数统计Parametric test,参数检验Partial correlation,偏相关Partial regression,偏回归Partial sorting,偏排序Partials residuals,偏残差Pattern,模式Pearson curves,皮尔逊曲线Peeling,退层Percent bar graph,百分条形图Percentage,百分比Percentile,百分位数Percentile curves,百分位曲线Periodicity,周期性Permutation,排列P-estimator,P估计量Pie graph,饼图Pitman estimator,皮特曼估计量Pivot,枢轴量Planar,平坦Planar assumption,平面的假设PLANCARDS,生成试验的计划卡Point estimation,点估计Poisson distribution,泊松分布Polishing,平滑Polled standard deviation,合并标准差Polled variance,合并方差Polygon,多边图Polynomial,多项式Polynomial curve,多项式曲线Population,总体Population attributable risk,人群归因危险度Positive correlation,正相关Positively skewed,正偏Posterior distribution,后验分布Power of a test,检验效能Precision,精密度Predicted value,预测值Preliminary analysis,预备性分析Principal component analysis,主成分分析Prior distribution,先验分布Prior probability,先验概率Probabilistic model,概率模型probability,概率Probability density,概率密度Product moment,乘积矩/协方差Profile trace,截面迹图Proportion,比/构成比Proportion allocation in stratified random sampling,按比例分层随机抽样Proportionate,成比例Proportionate sub-class numbers,成比例次级组含量Prospective study,前瞻性调查Proximities,亲近性Pseudo F test,近似F检验Pseudo model,近似模型Pseudosigma,伪标准差Purposive sampling,有目的抽样QR decomposition,QR分解Quadratic approximation,二次近似Qualitative classification,属性分类Qualitative method,定性方法Quantile-quantile plot,分位数-分位数图/Q-Q图Quantitative analysis,定量分析Quartile,四分位数Quick Cluster,快速聚类Radix sort,基数排序Random allocation,随机化分组Random blocks design,随机区组设计Random event,随机事件Randomization,随机化Range,极差/全距Rank correlation,等级相关Rank sum test,秩和检验Rank test,秩检验Ranked data,等级资料Rate,比率Ratio,比例Raw data,原始资料Raw residual,原始残差Rayleigh's test,雷氏检验Rayleigh's Z,雷氏Z值Reciprocal,倒数Reciprocal transformation,倒数变换Recording,记录Redescending estimators,回降估计量Reducing dimensions,降维Re-expression,重新表达Reference set,标准组Region of acceptance,接受域Regression coefficient,回归系数Regression sum of square,回归平方和Rejection point,拒绝点Relative dispersion,相对离散度Relative number,相对数Reliability,可靠性Reparametrization,重新设置参数Replication,重复Report Summaries,报告摘要Residual sum of square,剩余平方和Resistance,耐抗性Resistant line,耐抗线Resistant technique,耐抗技术R-estimator of location,位置R估计量R-estimator of scale,尺度R估计量Retrospective study,回顾性调查Ridge trace,岭迹Ridit analysis,Ridit分析Rotation,旋转Rounding,舍入Row,行Row effects,行效应Row factor,行因素RXC table,RXC表Sample,样本Sample regression coefficient,样本回归系数Sample size,样本量Sample standard deviation,样本标准差Sampling error,抽样误差SAS(Statistical analysis system ),SAS统计软件包Scale,尺度/量表Scatter diagram,散点图Schematic plot,示意图/简图Score test,计分检验Screening,筛检SEASON,季节分析Second derivative,二阶导数Second principal component,第二主成分SEM (Structural equation modeling),结构化方程模型Semi-logarithmic graph,半对数图Semi-logarithmic paper,半对数格纸Sensitivity curve,敏感度曲线Sequential analysis,贯序分析Sequential data set,顺序数据集Sequential design,贯序设计Sequential method,贯序法Sequential test,贯序检验法Serial tests,系列试验Short-cut method,简捷法Sigmoid curve,S形曲线Sign function,正负号函数Sign test,符号检验Signed rank,符号秩Significance test,显著性检验Significant figure,有效数字Simple cluster sampling,简单整群抽样Simple correlation,简单相关Simple random sampling,简单随机抽样Simple regression,简单回归simple table,简单表Sine estimator,正弦估计量Single-valued estimate,单值估计Singular matrix,奇异矩阵Skewed distribution,偏斜分布Skewness,偏度Slash distribution,斜线分布Slope,斜率Smirnov test,斯米尔诺夫检验Source of variation,变异来源Spearman rank correlation,斯皮尔曼等级相关Specific factor,特殊因子Specific factor variance,特殊因子方差Spectra ,频谱Spherical distribution,球型正态分布Spread,展布SPSS(Statistical package for the social science),SPSS统计软件包Spurious correlation,假性相关Square root transformation,平方根变换Stabilizing variance,稳定方差Standard deviation,标准差Standard error,标准误Standard error of difference,差别的标准误Standard error of estimate,标准估计误差Standard error of rate,率的标准误Standard normal distribution,标准正态分布Standardization,标准化Starting value,起始值Statistic,统计量Statistical control,统计控制Statistical graph,统计图Statistical inference,统计推断Statistical table,统计表Steepest descent,最速下降法Stem and leaf display,茎叶图Step factor,步长因子Stepwise regression,逐步回归Storage,存Strata,层（复数）Stratified sampling,分层抽样Stratified sampling,分层抽样Strength,强度Stringency,严密性Structural relationship,结构关系Studentized residual,学生化残差/t化残差Sub-class numbers,次级组含量Subdividing,分割Sufficient statistic,充分统计量Sum of products,积和Sum of squares,离差平方和Sum of squares about regression,回归平方和Sum of squares between groups,组间平方和Sum of squares of partial regression,偏回归平方和Sure event,必然事件Survey,调查Survival,生存分析Survival rate,生存率Suspended root gram,悬吊根图Symmetry,对称Systematic error,系统误差Systematic sampling,系统抽样Tags,标签Tail area,尾部面积Tail length,尾长Tail weight,尾重Tangent line,切线Target distribution,目标分布Taylor series,泰勒级数Tendency of dispersion,离散趋势Testing of hypotheses,假设检验Theoretical frequency,理论频数Time series,时间序列Tolerance interval,容忍区间Tolerance lower limit,容忍下限Tolerance upper limit,容忍上限Torsion,扰率Total sum of square,总平方和Total variation,总变异Transformation,转换Treatment,处理Trend,趋势Trend of percentage,百分比趋势Trial,试验Trial and error method,试错法Tuning constant,细调常数Two sided test,双向检验Two-stage least squares,二阶最小平方Two-stage sampling,二阶段抽样Two-tailed test,双侧检验Two-way analysis of variance,双因素方差分析Two-way table,双向表Type I error,一类错误/α错误Type II error,二类错误/β错误UMVU,方差一致最小无偏估计简称Unbiased estimate,无偏估计Unconstrained nonlinear regression ,无约束非线性回归Unequal subclass number,不等次级组含量Ungrouped data,不分组资料Uniform coordinate,均匀坐标Uniform distribution,均匀分布Uniformly minimum variance unbiased estimate,方差一致最小无偏估计Unit,单元Unordered categories,无序分类Upper limit,上限Upward rank,升秩Vague concept,模糊概念Validity,有效性VARCOMP (Variance component estimation),方差元素估计Variability,变异性Variable,变量Variance,方差Variation,变异Varimax orthogonal rotation,方差最大正交旋转Volume of distribution,容积W test,W检验Weibull distribution,威布尔分布Weight,权数Weighted Chi-square test,加权卡方检验/Cochran检验Weighted linear regression method,加权直线回归Weighted mean,加权平均数Weighted mean square,加权平均方差Weighted sum of square,加权平方和Weighting coefficient,权重系数Weighting method,加权法W-estimation,W估计量W-estimation of location,位置W估计量Width,宽度Wilcoxon paired test,威斯康星配对法/配对符号秩和检验Wild point,野点/狂点Wild value,野值/狂值Winsorized mean,缩尾均值Withdraw,失访Youden's index,尤登指数Z test,Z检验Zero correlation,零相关Z-transformation,Z变换。

李雅普诺夫稳定性自动化专业英语词汇表

.李雅普诺夫稳定性自动化专业英语词汇表公告记录成长的脚印,分享败绩、成功的智慧。

(大部门日记转自采集,如有侵权,即删。

) 日记总数： 47 品题数目： 42 访问次数： 15577 acceptance testing 验收测试 accumulated error积累误差 ac-dc-ac frequency converter 交-直-交变频器 ac(alternatingcurrent)electric drive交流电子传动 active attitude stabilization主动姿态稳定 actuator 驱动器,执行机构 adaline 线性适应元daptation layer适应层 adaptive telemeter system 适应遥测系统 adjoint operator 陪同算子 admissible error容许误差 aggregationmatrix结集矩阵ahp(analytic你好 erarchy process)条理分析法 amplifying element放大环节analog-digital conversion模数转换 ntenna pointing control接收天线指向控制anti-integral windup抗积分饱卷 aperiodic decomposition非周期分解 a posteriori estimate笱楣兰?approximate reasoning类似推理 a priori estimate 先验估计 articulated robot关节型机器人 assignment problem配置问题,分配问题 associative memory model遐想记忆模子 asymptotic stability渐进稳定性 attained pose drift现实位姿漂移 attitude acquisition姿态捕获aocs(attritude and orbit control system)姿态轨道控制系统 attitude angular velocity姿态角速度 attitude disturbance姿态扰动 attitude maneuver 姿态机动 augment ability可扩充性 augmented system增广系统 automatic manual station不用人力-手动操作器 autonomous system自治系统 backlash characteristics间隙特征 base coordinate system基座坐标系bayes classifier 贝叶斯分类器 bearing alignment 方位瞄准 bellows pressure gauge 波纹管压力表 benefit-cost analysis 收入成本分析 bilinear system 双线性系统 biocybernetics 生物控制论 biological feedback system 生物反馈系统black box testing approach 黑箱测试法 blind search 盲目搜索 block diagonalization 块对于角化 boltzman mac 你好 ne 玻耳兹曼机 bottom-up development 自下而上开辟 boundary value analysis 界限值分析 brainstorming method 头脑风暴法 breadth-first search 广度优先搜索 cae(computer aided engineering) 计较机匡助工程 cam(computer aided manufacturing) 计较机匡助创造 camflex valve 偏疼旋转阀 canonical state vari able 标准化状况变量capacitive displacementtransducer 电容式位移传感器 capsule pressure gauge 膜盒压力表 card 计较机匡助研究开辟 cartesian robot 直角坐标型机器人cascadecompensation 串联赔偿 catastrophe theory 突变论 chained aggregation 链式结集 characteristic locus 特征轨迹 chemical propulsion 化学推进classical information pattern 经典信息标准样式 clinical controlsystem 临床控制系统关上 d loop pole 闭环极点关上 d looptransfer function 闭环传递函数cluster analysis 聚类分析 coarse-finecontrol 粗- 精控制 cobweb model 蜘蛛网模子 coefficient matrix 凳?卣?cognitive science 认知科学 coherent system 枯燥关接洽统 combination decision 组合决定计划 combinatorial explosion 组合爆炸combined pressure and vacuum gauge 压力真空表 command pose 指令位姿companion matrix 相伴矩阵 compartmental model 房室模子 compatibility 相容性,兼容性 compensating network 赔偿采集 compensation 赔偿,矫正compliance 柔顺, 适应 composite control 组合控制 computable general equilibrium model 可计较普通均衡模子 conditionallyinstability 条件不稳定性connectionism 毗连机制 conservative system 守恒系统 constraint condition 约束条件 consumption function 消费函数 context-free grammar 上下文无关语法continuous discrete eventhybrid system simulation 连续离散事件混淆系统仿真continuous duty 连续事情制 control accuracy 控制精密度 control cabinet 控制柜controllability index 可控指数 controllable canonical form 可控标准型[control]plant 控制对于象,被控对于象 controlling instrument 控制仪表 control moment gyro 控制力矩捻捻转儿 control panel 控制屏,控制盘 control synchro 控制 [式]自整角机 control system synthesis 控制系统综合 control time horizon 控制时程 cooperativegame 互助对于策 coordinability condition 可协调条件coordinationstrategy 协调计谋 corner frequency 迁移转变频率 costate variable 蔡?淞?cost-effectiveness analysis 用度效益分析 coupling ofrbit and attitude 轨道以及姿态耦合 critical damping 临界阻尼 ritical stability 临界稳定性 cross-over frequency 穿越频率,交越频率 current source inverter 电流[源]型逆变器 cut-off frequency 截止频率 cyclic remote control 循环遥控 cylindrical robot 圆柱坐标型机器人 damped oscillation 阻尼振动 damping ratio 阻尼比 data acquisition 数值采集 data encryption 数值加密 data preprocessing 数值预处理 data processor 数值处理器 dc generator-motor set drive 直流发机电-电动机组传动 d controller 微分控制器 decentralizedstochastic control 分散 rand 控制 decision space 决定计划空间 decisionsupport system 决定计划支持系统 decomposition-aggregation approach 分解结集法 decoupling parameter 解耦参量 deductive-inductive hybrid modeling method 演绎与归纳混淆建模法 delayed telemetry 延时遥测derivation tree 导出树 derivative feedback 微分反馈 describingfunction 描写函数 desired value 希望值deterministic automaton 确定性不用人力机 deviation alarm 误差报警器 dfd 数值流图 diagnosticmodel 诊断模子 diagonally dominant matrix 对于角主导矩阵diaphragmpressure gauge 膜片压力表 difference equation model 差分方程模子differential dynamical system 微分动力学系统 differential game⒎侄圆differential pressure level meter 差压液位计 differentialpressure transmitter 差压变送器 differential transformer displacementtransducer 差动变压器式位移传感器 differentiation element 微分环节 digital filer 数码滤波器 digital signal processing 数码旌旗灯号处理 digitizer 数码化仪 dimension transducer 尺度传感器 direct coordination 直接协调 discrete event dynamic system 离散事件动态系统 discretesystem simulation language 离散系统仿真语言 discriminant function 判别函数 displacement vibration amplitude transducer 位移波幅传感器dissipative structure 耗扩散局 distributed parameter control system 漫衍参量控制系统 disturbance compensation 扰动赔偿 domain knowledge 范畴常识dominant pole 主导极点 dose-response model 剂量反映模子 dual modulation telemetering system 两重调制遥测系统 dualprinciple 对于偶原理 dual spin stabilization 双自旋稳定 duty ratio 负载比 dynamic braking 能耗制动 dynamic characteristics 动态特征 dynamic deviation 动态误差 dynamic error coefficient 动态误差系数 dynamic exactness 动它吻合性 dynamic input-outputmodel 动态投入产出模子 econometric model 计量经济模子 economiccybernetics 经济控制论 economic effectiveness 经济效益 economicvaluation 经济评价 economic index 经济指数 economic in dicator 经济指标 eddy current t 你好 ckness meter 电涡流厚度计 effectivenesstheory 效益意见 elasticity of demand 需求弹性 electric actuator 电动执行机构 electric conductancelevelmeter 电导液位计 electricdrive control gear 电动传动控制设备 electric hydraulic converter 电-液转换器 electric pneumatic converter 电-气转换器electrohydraulicservo vale 电液伺服阀 electromagnetic flow transducer 电磁流量传感器 electronic batc 你好 ng scale 电子配料秤 electronic belt conveyorscale 电子皮带秤 electronic hopper scale 电子料斗秤 emergencystop 异样住手empirical distribution 经验漫衍 endogenous variable 内发生变故量equilibrium growth 均衡增长 equilibrium point 平衡点 equivalence partitioning 等价类区分清晰 error-correction parsing 纠错剖析 estimation theory 估计意见 evaluation technique 评价技术 event chain 事件链evolutionary system 高级演化系统 exogenous variable 外发生变故量 expected characteristics 希望特征 failure diagnosis 妨碍诊断 fast mode 快变模态 feasibility study 可行性研究 feasiblecoordination 可行协调 feasible region 可行域 feature detection 特征检测 feature extraction 特征抽取 feedback compensation 反馈赔偿 feedforward path 前馈通路 field bus 现场总线 finite automaton 有限不用人力机 fip(factory information protocol) 工场信息以及谈 first order predicate logic 一阶谓词逻辑 fixed sequence manipulator 固定挨次机械手 fixed set point control 定值控制 fms(flexiblemanufacturing system) 柔性创造系统 flowsensor/transducer 流量传感器 flow transmitter 流量变送器 forced oscillation 强迫振动 formal language theory 情势语言意见 formal neuron 情势神经元forward path 正向通路 forward reasoning 正向推理 fractal 分形体,分维体frequency converter 变频器 frequency domain modelreduction method 频域模子降阶法 frequency response 频域相应 full order observer 全阶测候器 functional decomposition 功效分解 fes(functional electricalstimulation)功效电刺激 functionalsimularity 功效相仿 fuzzy logic 含糊逻辑 game tree 对于策树 general equilibrium theory 普通均衡意见 generalized least squaresestimation 意义广泛最小二乘估计 generation function 天生函数geomagnetictorque 地磁性矩 geometric similarity 几何相仿 gimbaled wheel 蚣苈global asymptotic stability 全局渐进稳定性 global optimum 全局最优 globe valve 球形阀 goal coordination method 目标协调法 grammatical inference 文法判断 grap 你好 c search 图搜索 gravitygradient torque 重力梯度力矩 group technology 成组技术 guidancesystem 制导系统 gyro drift rate 捻捻转儿漂移率 hall displacementtransducer 霍尔式位移传感器 hardware-in-the-loop simulation 半实物仿真 harmonious deviation 以及谐误差 harmonious strategy 以及谐计谋 heuristic inference 开导式推理你好 dden oscillation 隐蔽振动你好 erarc 你好 calchart 条理布局图你好 erarc 你好 cal planning 递阶规划你好 erarc你好 calontrol 递阶控制 homomorp 你好 c model 同态系统 horizontal decomposition 横向分解 hormonal control 内排泄控制 hydraulic step motor 液压步进马达 hypercycle theory 超循环意见 i controller 积分控制器 identifiability 可辨识性 idss(intelligent decision support system)智能决定计划支持系统 image recognition 图象辨认 impulse function 冲击函数,电子脉冲函数 incompatibility principle 不相容原理 incrementalmotion control 增量运动控制 index of merit 品质因数 inductiveforce transducer 电感式位移传感器 inductive modeling method 归纳建模法 industrial automation 工业不用人力化 inertial attitude sensor 惯性姿态敏锐器 inertial coordinate system 惯性坐标系 inertialwh eel 惯性轮 inference engine 推理机 infinite dimensional system 无限维系统information acquisition 信息采集 infrared gasanalyzer 红外线气体分析器 inherent nonlinearity 本来就有非线性 inherent regulation 本来就有调节 initial deviation 初始误差 injection attitude 入轨姿式input-output model 投入产出模子 instability 不稳定性 instructionlevel language 指令级语言 integral of absolute value of errorcriterion 绝对于误差积分准则integral of squared error criterion 平方误差积分准则 integral performance criterion 积分性能准则 integration instrument 积算摄谱仪 intelligent terminal 智能终端 interactedsystem 互接洽统,关接洽统 interactive prediction approach 互联预估法,关联预估法 intermittent duty 断续事情制ism(interpretivestructure modeling) 诠释布局建模法 invariant embedding principle 不变镶嵌原理 inventory theory 库伦论 inverse nyquist diagram 逆奈奎斯特图 investment decision 投资决定计划 isomorp 你好 c model 同构模子iterative coordination 迭代协调 jet propulsion 喷气推进 job-lot control 分批控制kalman-bucy filer 卡尔曼-布西滤波器 knowledgeaccomodation 常识适应knowledge acquisition 常识获取 knowledgessimilation 常识夹杂kbms(knowledge base management system) 常识库管理系统 knowledge representation 常识抒发 lad der diagram 菪瓮?lag-lead compensation 滞后超前赔偿 lagrange duality 拉格朗日对于偶性 laplace transform 拉普拉斯变换 large scale system 大系统 lateral in 你好 bition network 侧抑制采集 least cost input 最小成本投入 least squares criterion 最小二乘准则 level switch 物位开关 libration damping 天平动阻尼 limit cycle 极限环 linearizationtechnique 线性化要领 linear motion electric drive 直线运动电气传动 linear motion valve 直行程阀 linear programming 线性规划 lqr(linear quadratic regulator problem) 线性二次调节器问题 oad cell 称重传感器 local asymptotic stability 局部渐近稳定性 local optimum 局部最优 log magnitude-phase diagram 对于数幅相图long term memory 长期记忆 lumped parameter model 集总参量模子 lyapunov theorem of asymptotic stability 李雅普诺夫渐近稳定性定理 macro-economic system 宏观经济系统 magnetic dumping 磁卸载 magnetoelastic weig 你好ng cell 磁致弹性称重传感器 magnitude- frequencycharacteristic 幅频特征magnitude margin 幅值裕度 magnitudecale factor 幅值缩尺 man-mac 你好ne coordination 人机协调 manualstation 手动操作器 map(manufacturing automation protocol) 创造不用人力化以及谈 marginal effectiveness 边岸效益mason's gain formula 梅森增益公式 matc 你好 ng criterion 匹配准则 maximum likelihood estimation 最大似然估计 maximum ove rshoot 最大超调量maximum principle 极大值原理 mean-square error criterion 均方误差准则mechanismmodel 机理模子 meta-knowledge 元常识 metallurgical automation 冶金不用人力化 minimal realization 最小使成为事实 minimum phase system 最小相位系统 minimum variance estimation 最小方差估计 minor loop 副回路missile-target relative movement simulator 弹体- 目标相对于运动仿真器 modal aggregation 模态结集 modal transformation 模态变换 mb(model base)模子库model confidence 模子置信度 model fidelity 模子传神度 model reference adaptive control system 模子参考适应控制系统 model verification 模子证验mec(mostconomic control)最经济控制 motion space 可动空间 mtbf(mean time between failures) 均等妨碍距离时间 mttf(mean timeto failures)均等无妨碍时间 multi-attributive utility function 嗍粜孕в 煤??multicriteria 多重判据 multilevel 你好 erarc 你好 cal structure 多级递阶布局 multiloop control 多回路控制 multi- objective decision 多目标决定计划 multistate logic 多态逻辑multistratum 你好 erarc 你好 calcontrol 多段递阶控制 multivariable control system 多变量控制系统 myoelectric control 肌电控制 nash optimality 纳什最优性 naturallanguage generation 自然语言天生 nearest- neighbor 这段邻necessitymeasure 肯定是性侧度 negative feedback 负反馈 neural assembly 神经集合 neural network computer 神经采集计较机 nichols chart 尼科尔斯图noetic science 思维科学 noncoherent system 非枯燥关接洽统 noncooperative game 非互助博弈 nonequilibrium state 非平衡态 nonlinear element 非线性环节nonmonotonic logic 非枯燥逻辑 nonparametric training 非参量训练nonreversible electric drive 不成逆电气传动 nonsingular perturbation 非奇妙摄动 non-stationaryrandom process 非平稳 rand 历程 nuclear radiation levelmeter 核辐射物位计 nutation sensor 章动敏锐器 nyquist stability criterion 奈奎斯特稳定判据 objective function 目标函数 observability index 可测候指数observable canonical form 可测候标准型 on-line assistance 在线帮忙 on- off control 通断控制 open loop pole 开环极点 operational research model 运筹学模子 optic fiber tachometer 光纤式转速表 opt imal trajectory 最优轨迹optimization technique 最优化技术 orbital rendezvous 轨道交会 orbit gyrocompass 轨道捻捻转儿罗经 orbit perturbation 轨道摄动 order parameter 序参量 orientationcontrol 定向控制 oscillating period 振动周期 output predictionmethod 输出预估法 oval wheel flowmeter 椭圆齿轮流量计overalldesign 总体设计 overlapping decomposition 交叠分解 pade approximation 帕德类似 pareto optimality 帕雷托最优性 passive attitude stabilization 不主动姿态稳定 path repeatability 路径可重复性 pattern primitive 标准样式基元 pr(pattern recognition)标准样式辨认 p control 比例控制器 peak time 峰值时间penalty function method 罚函数法 periodic duty 周期事情制 perturbation theory 摄动意见 pessimisticvalue 悲观值 phase locus 相轨迹 phase trajectory 相轨迹hase lead 相位超前 photoelectric tachometric transducer 光电式转速传感器phrase-structure grammar 短句布局文法 physical symbol system 物理符号系统 piezoelectric force transducer 压电式力传感器 playbackrobot 示教再现式机器人 plc(programmable logic controller)可编步伐逻辑控制器 plug braking 反接制动 plug valve 旋塞阀 pneumaticactuator 气动执行机构 point-to-point control 点位控制 polar robot 极坐标型机器人 pole assignment 极点配置 pole-zero cancellation 零极点相消 polynom ial input 多项式输入 portfolio theory 投资配搭意见 pose overshoot 位姿过调量 position measuring instrument 位置丈量仪posentiometric displacement transducer 电位器式位移传感器 positive feedback 正反馈 power system automation 电力系统不用人力化 predicate logic 谓词逻辑pressure gauge with electric contact 电接点压力表 pressure transmitter 压力变送器 price coordination 价格协调 primal coordination 主协调 primary frequency zone 主频区 pca(principal component analysis)主成份分析法principlef turnpike 通途原理 process- oriented simulation 面向历程的仿真production budget 生产预算 production rule 孕育发生式法则 profitforecast 利润预测 pert(program evaluation and review technique) 计划评审技术program set station 步伐设定操作器 proportionalcontrol 比例控制 proportional plus derivative controller 比例微分控制器 protocol engineering 以及谈工程pseudo random sequence 伪 rand 序列 pseudo-rate-increment control 伪速度增量控制 pulse duration 电子脉冲持续时间 pulse frequency modulation control system 电子脉冲调频控制系统 pulse width modulation controlsystem 电子脉冲调宽控制系统 pwm inverter 脉宽调制逆变器 pushdown automaton 下推不用人力机 qc(quality control)质量管理 quadratic performance index 二次型性能指标 quali tative physical model 定性物理模子quantized noise 量化噪声 quasilinear characteristics 准线性特征 queuing theory 列队论 radio frequency sensor 射频敏锐器 ramp function 斜坡函数 random disturbance rand 扰动 random process rand 历程 rateintegrating gyro 速度积分捻捻转儿 ratio station 比率操作器 reactionwheel control 反效用轮控制realizability 可以使成为事实性,能使成为事实性 eal time telemetry 实时遥测receptive field 感受野 rectangularrobot 直角坐标型机器人 recursive estimation 递推估计 reducedorder observer 降阶测候器 redundant information 冗余信息 reentrycontrol 再入控制 regenerative braking 回馈制动,再生制动 regionalplanning model 地区范围规划模子 regulating device 调节装载 relationalalgebra 关系代数 relay characteristic 继电器特征 remote manipulator 遥控操作器 remote set point adjuster 远程设定点调整器 rendezvo 目前世界上最强大的国家 nd docking 交会以及对于接 resistance thermometer sensor 热电阻 esolution principle 归结原理 resource allocation 资源分配responsecurve 相应曲线 return difference matrix 回差矩阵 return ratiomatrix 回比矩阵 reversible electric drive 可逆电气传动 revoluterobot 关节型机器人revolution speed transducer 转速传感器 rewritingrule 重写法则 rigid spacecraft dynamics 刚性航天动力学 riskdecision 危害分析 robotics 机器人学 robot programming language 机器人编程语言 robust control 鲁棒控制 roll gap measuring instrument 辊缝丈量仪 root locus 根轨迹 roots flowmeter 腰轮流量计otameter 浮子流量计,转子流量计 rotary eccentric plug valve 偏疼旋转阀 rotary motionvalve 角行程阀 rotating transformer 旋转变压器 routh approximation method 劳思类似判据 routing problem 肪段侍?sampled-data control system 采样控制系统 sampling controlsystem 采样控制系统 saturation characteristics 饱以及特征 scalarlyapunov function 标量李雅普诺夫函数 scara(selective complianceassembly robot arm) 最简单的面关节型机器人 scenario analysis method 情景分析法 scene analysis 物景分析 self- operated controller 自力式控制器 self-organizing system 自组织系统 self-reproducing system 自繁殖系统self-tuning control 自校正控制 semantic network 语义采集 semi-physical simulation 半实物仿真 sensing element 敏锐元件 sensitivity analysis 活络度分析sensory control 觉得控制 sequentialdecomposition 挨次分解 sequential least squares estimation 序贯最小二乘估计 servo control 伺服控制,随动控制servomotor 伺服马达 settling time 过渡时间 short term planning 短期计划shorttime horizon coordination 短时程协调 signal detection and estimation 旌旗灯号检测以及估计 signal reconstruction 旌旗灯号重构 simulated interrupt 仿真中断 simulation block diagram 仿真框图 simulation experiment 仿真实验simulation velocity 仿真速度 single axle table 单轴转台 single degree of freedom gyro 单自由度捻捻转儿 single levelprocess 单级历程 single value nonlinearity 单值非线性 singularattractor 奇妙吸引子 singular perturbation 奇妙摄动 slave dsystem 受役系统 slower-than-real-time simulation 欠实时仿真slow subsystem 慢变子系统 socio-cybernetics 社会形态控制论 socioeconomic system 社会形态经济系统软体 psychology 软件生理学 solar array pointing control 日头帆板指向控制 solenoid valve 电磁阀 speed control system 魉傧低spin axis 自旋轴 stability criterion 稳定性判据 stabilitylimit 稳定极限 stabilization 镇定,稳定 stackelberg decision theory 施塔克尔贝格决定计划意见 state equation model 状况方程模子 state space description 状况空间描写 static characteristics curve 静态特征曲线 station accuracy 定点精密度stationary random process 平稳 rand 历程 statistical analysis 统计分析 statistic pattern recognition 统计标准样式辨认 steady state deviation 稳态误差steadystate error coefficient 稳态误差系数 step-by-step control 步进控制step function 阶跃函数 stepwise refinement 慢慢精化 stochasticfinite automaton rand 有限不用人力机 strain gauge load cell 应变式称重传感器 strategic function 计谋函数 strongly coupled system 狂詈舷低?subjective probability 主观频率 supervised training 喽窖??supervisory computer control system 计较机监控系统 sustainedoscillation 矜持振动 swirlmeter 旋进流量计 switc 你好 ng point 切换点 symbolic processing 符号处理 synaptic plasticity 突触可塑性syntactic analysis 句法分析 system assessment 系统评价 systemhomomorp 你好sm 系统同态 system isomorp 你好 sm 系统同构 system engineering 系统工程target flow transmitter 靶式流量变送器 task cycle 功课周期 teac 你好 ng programming 示教编程 telemetering system ofrequency division type 频分遥测系统 teleological system 目的系统 temperature transducer 温度传感器template base 模版库 theoremproving 定理证实 therapy model 治疗模子 t 你好ckness meter 厚度计 three-axis attitude stabilization 三轴姿态稳定 three state controller 三位控制器 thrust vector control system 推力矢量控制系统 time constant 时间常数 time-invariant system 定常系统,非时变系统 time schedule controller 时序控制器 time-sharing control 分时控制 time-varying parameter 时变参量 top-down testing 自上而下测试topological structure 拓扑布局 tqc(total quality control)全面质量管理 tracking error 跟踪误差 trade-off analysis 权衡分析 transfer function matrix 传递函数矩阵transformation grammar 转换文法 transient deviation 瞬态误差 transient process 过渡历程 transition diagram 转移图 transmissible pressure gauge 电远传压力表 trend analysis 趋向分析 triple modulation telemetering system 三重调制遥测系统 turbine flowmeter 涡轮流量计 turing mac 你好 ne 剂榛?two-time scale system 双时标系统 ultrasonic levelmeter??镂患?unadjustable speed electric drive 非调速电气传动 unbiasedestimation 无偏估计 uniformly asymptotic stability 一致渐近稳定性 uninterrupted duty 不间断事情制,长期事情制 unit circle 单位圆 unit testing 单位测试 unsupervised learing 非监视进修upperlevel problem 较高等级问题 urban planning 城市规划 utility function 效用函数 value engineering 价值工程 variable gain 可变增益,可变放大系数 variable structure control system 变布局控制 vectorlyapunov function 向量李雅普诺夫函数 velocity error coefficient 速度误差系数 velocity transducer 速度传感器vertical decomposition 纵向分解 vibrating wire force transducer 振弦式力传感器 viscousdamping 粘性阻尼 voltage source inverter 电压源型逆变器vortexprecession flowmeter 旋进流量计 vortex shedding flowmeter 涡街流量计 wb(way base) 要领库 weig 你好 ng cell 称重传感器 weightingfactor 权因数weighting method 加权法 w 你好 ttaker-shannon samplingtheorem 惠特克-喷鼻农采样定理 wiener filtering 维纳滤波 work stationfor computer aided design 计较机匡助设计事情站 w-plane w 最简单的面 zero-based budget 零基预算 zero-input response 零输入相应 zero-stateresponse 零状况相应 zero sum game model 零以及对于策模子2022 年 07 月 31 日历史上的今天：ipad2 怎么贴膜好吧,我还是入了 iPad2 2022-06-26 斗破苍穹快眼看书 2斗破苍穹 22 下载 20 11-06-26特殊声明：1：资料来源于互联网，版权归属原作者2：资料内容属于网络意见，与本账号立场无关3 ：如有侵权，请告知，即将删除。

离散Kirchhoff型方程非平凡解的存在性

离散Kirchhoff型方程非平凡解的存在性王庆云【摘要】针对离散Kirchhoff型方程解的存在性问题，本文首先将其转化为矩阵形式，同时给出了相应的能量泛函，进而利用变分方法，将该问题的解转化为能量泛函的临界点。

当非线性项满足超线性条件时，根据临界点理论中山路引理，证明了该问题至少存在一个非平凡解。

%The existence of nontrivial solutions to a discrete Kirchhoff type problem was studied. The matrix form and the corresponding energy func-tional of the above problem were given in this paper,then the desired solutions were equivalent to the critical points of the energy functional by variational methods. When the nonlinear term met the superlinear growth conditions,it was proved that the problem had at least one nontrivial solution via Mountain Pass Lemma of critical point theory.【期刊名称】《太原科技大学学报》【年(卷),期】2015(000)001【总页数】4页(P72-74,75)【关键词】Kirchhoff型方程;变分方法;山路引理【作者】王庆云【作者单位】山西建筑职业技术学院基础部，太原030006【正文语种】中文【中图分类】O177本文主要利用山路引理研究离散Kirchhoff型方程：非平解的存在性，其中N≥3是一个给定的整数，[1,N]表示离散区间{1,2,…,N}，a，b>0是常数，△表示由△u(k)=u(k+1)-u(k)所定义的向前差分算子，△2u(k)=△(△u(k)),且∀k∈[1,N],f(k,·)∈C(R,R)满足f(k,0)=0.显然问题：式(1)有平凡解u=0.因此，我们所感兴趣的是问题式(1)非平凡解的存在性。

常用量子化学词汇

Average,期望值，ab initio, 从头计算approximate,近似accurate, 精确atomiticity, 粒子性active, 活性的adiabatic, 绝热的，非常缓慢的anti-symmetry principle 反对称原理Basis,基组bra, 左矢，左矢空间，右矢空间的对偶空间boundary,边界条件Born-Oppenheimer 波恩奥本海默近似，绝热近似退耦后的进一步近似Configuration, 组态，电子排布correlation, 电子的相关作用commutation, 对易子coordinate, 坐标conjugate, 共轭core, 原子实convergence, 收敛，级数或积分收敛coupling, 耦合Coulomb’s Law, 库仑定律，麦克斯韦场方程的点电荷近似correspondence principle, 对应原理complete, 完备的complete active space (CAS), 完备的活性空间closed-shell, 闭壳层closed system, 封闭体系configuration state function (CSF)组态波函数Diagonalization,对角化Diagonal, 对角阵，对角元DFT, 密度泛函理论density,电子密度D-CI, double CIdynamical, 动力学的deterministic, 行列式的diabatic 未对角化的，非自身表象的，透热的Effective Hamiltonian, 有效哈密顿electron, 电子eigenvalue, 本征值eigenvector, 本征矢，无限维Hilbert空间中的态矢量external, 外加的energy, 能量excitation, 激发态excited, 被激发的exclusion principle不相容原理Functional, 泛函数function, 函数Fock space, Fock空间force, 力.，field场Gradient,梯度Gaussian, 高斯程序，高斯函数generic, 普适的Gauge 规范Hamiltonian, 哈密顿，Hessian, 二阶导数Hermitian, 厄米的Hartree 原子能量单位Integral, 积分internal, 内部的（内部自由度的）interaction, 相互作用independent, 不独立的invariant, 不变的iteration, 叠代interpretation, （几率）诠释interpolation,inactive不活动的J-integral, j积分jj-coupling jj耦合K-integral, k积分ket，右矢，右矢空间Linear algebra, 线性代数，linear combination of atomic orbitals (LCAO),原子轨函线性组合（法）local, 定域的locality, 定域物理量linear scaling, 线性标度low order，低对称性，有序度较低的情形Matrix, 矩阵，metric,矩阵的momentum, momenta，动量many-body theory,多体理论mechanics,力学，机理，机制multiconfiguration self-consistent field (MCSCF),多组态自洽场multireference (MR),多参考态方法minimization，最小化Normalization,归一化normal order, 正常序norm,已归一化的（波函数），N-electron, N电子体系nondynamic,非动力学的nonadiabtaic 非绝热的，有交换作用的，非渐变的Orbit,轨道orbital,轨道波函数，轨函observable, 可观测的（物理量）operator, 算符optimization, 优化one-electron,单电子，orthogonal, 正交的orthonormal, 正交归一的，open-shell,开壳层open system,开放体系，order-N第N阶（近似，导数）Principle,原理，原则property,性质particle, 粒子probability, 几率probabilistic, 几率性的potential,势PES, 势能面pseudo-, 赝的，pseudo vector赝矢量，pseudopotential，赝势perturbation theory，微扰理论Quantum, quanta, 量子quantized, 使量子化quantization,量子化的过程quotient,商quantity，数量，物理量Relativity,相对论，relativistic, 相对论性的representation,表示，表象Reference，参考系，参考态Spin, 自旋S-matrix, s矩阵，线性变换矩阵，散射矩阵symmetry, 对称性SCF, 自洽场stability,稳定性state,态scale,标度，测量shell,电子壳层spin-orbit coupling,自旋轨道耦合static,静态的space,空间，坐标空间的，banach/Hilbert Space，巴拉赫，希尔伯特空间spatial,空间的similarity transformation, 相似变换self-consistent field (SCF), 自洽场secondary ，二阶的，二级的，second quantization，二次量子化Transition state,过渡态time-dependent,含时的，对时间依赖的trace,矩阵的迹.Transformation，变换Universal,统一的，全同的。

锥拉伸与压缩不动点定理英文表示

锥拉伸与压缩不动点定理英文表示English:The Contraction Mapping Theorem, also known as the Banach Fixed-Point Theorem, states that for a complete metric space and a contraction mapping, there exists a unique fixed point. In other words, if there is a function that maps points in the space to other points such that the distance between the images of the points becomes smaller as the distance between the original points becomes smaller, then there exists a unique point in the space such that when the function is applied to this point, the result is the same point. This theorem is widely applicable in various fields such as economics, engineering, and computer science, where it is used to prove the existence and uniqueness of solutions to certain problems.中文翻译:收缩映射定理，也称为巴拿赫不动点定理，规定了在完备的度量空间和一个收缩映射下，存在一个唯一的不动点。

换句话说，如果存在一个函数，将空间中的点映射到其他点，使得原始点之间的距离变小时，它们的映射点之间的距离也变小，那么在空间中存在一个唯一的点，当该函数应用于该点时，结果仍然是同一个点。

常微分方程双语课程常用词汇表#

《常微分方程》双语课程常用词汇表acceleration n. 加速度constant acceleration常加速度downward acceleration向下的加速度gravitationalacceleration重力加速度total acceleration 总加速度upward acceleration向上的加速度account（for）v. 占去algebra 代数algebraic equation 代数方程linear algebra 线性代数thefundamental theorem of algebra 代数学基本定理amount v. 总计n. 总数amplitude n. 振幅application n. 应用by repeated application of 反复应用apply v. 应用approach v. 趋近于approach zero 趋近于零approach infinity 趋近于无穷area n. 面积cross-sectional area 横截面积the horizontal cross-sectional area 水平方向的截面积arrange v. 安排、整理、排列arrangement n. 安排、整理、排列rearrangement n. 重新安排、重新整理、重新排列associate v. 联系associated a.. 相应的associated with 对应于…的associated homogeneous linear equation 相应的齐线性方程associativity n. 结合律assume v. 假设assumption n. 假设asymptote 渐近线oblique asymptote 斜渐近线[əˈbli:k]axis 数轴negative x -axis 负x 轴positive y -axis 正y 轴x -axis x 轴y -axis y 轴base n. 基be present v. 出现body 天体boundary n. 边界bounded a. 有界的unbounded a. 无界的brine 盐水calculus 微积分elementary calculus 初等微积分capacitor 电容器case 情形exceptional case 例外情形chain rule （求导的）链式法则circuit 电路clockwise 顺时针clockwise direction 顺时针方向counterclockwise 逆时针counterclockwise direction 逆时针方向close v. 闭closed container 封闭的容器closed interval 闭区间coefficient 系数constant coefficient 常系数leading coefficient 首项系数undetermined coefficient 待定系数variable coefficient 变系数collect v. 整理collect coefficients 整理系数column 列commute v. 交换commutative a. 交换的commutativity 交换性property of commutativity 交换性质complete a. 完备的incomplete a. 不完备的complex a. 复的complex conjugate 复共轭的complex conjugate pairs 复共轭对complex conjugate roots 复共轭根component n. 分量componentwise 分量形式composition 复合compress v. 压缩compute v. 计算concentration n. 浓度condition 条件a given initial condition 一个给定的初始条件initial condition初始条件necessary condition 必要条件sufficient condition 充分条件the given condition 给定的条件conjugate 共轭的constant 常数arbitrary constant任意常数constant multiple 数乘constant of integration 积分常数constant speed 常速度damping constant阻尼常数positive constant正的常数continuity n. 连续性discontinuity 不连续性continuous 连续的continuous function 连续函数continuous partial derivative 连续偏导数discontinuous 不连续的piecewise continuous 分段连续的convention 惯例converge v. 收敛convergence n. 收敛absolute convergence 绝对收敛uniform convergence 一致收敛coordinate 坐标coordinate axis 坐标轴polar coordinates 极坐标corresponding a. 相应的cube 立方，立方体current 电流cylinder 柱，柱面dashpot 减震器decomposition 分解partial fraction decomposition 部分分式分解defect n. 亏量defective v. 亏损的define v. 定义definition n. 定义degenerate a. 退化的denominator 分母derive v. 导出derivation n. 求导（数）derivative n. 导数[diˈrivətiv]antiderivative 原函数first derivative 一阶导数second derivative 二阶导数the highest derivative 最高阶导数determine v. 确定determinant 行列式determinant of coefficients 系数行列式operational determinant算子行列式diagonal 对角线principal diagonal 主对角线differ v. 不同difference n. 差differentiable 可微的differentiable function 可微函数differentiability 可微性differentiability condition 可微性条件differential n. 微分differential form 微分形式differentiate v. 微分differentiate term wise逐项微分differentiation n. 微分（运算）term-by-term differentiation 逐项微分displacement 位移distance 距离distinct 不同的distinct real roots 不同的实根distributives分配性diverge v. 发散divide v. 划分，除subdivide 细分domain 定义域double 重，二重，双double root 二重根duplicate v. 复制、重复duplication n. 复制、重复eliminate v. 消去elimination n. 消元法、消去the method of elimination 消元法、消去法eigenvalue n. 特征值complex conjugate eigenvalue 复共轭特征值defective eigenvalue 不完备的特征值multiple eigenvalue 多重特征值zero eigenvalue 零特征值eigenvector 特征向量generalized eigenvector 广义特征向量rank generalized eigenvector r 阶广义特征向量element 元素diagonal element 对角元off-diagonal element 非对角元element wise逐个元素地ellipse 椭圆elliptical orbit 椭圆型轨道employ v. 利用employ the technique of 利用…技术enable v. 使能够entry n. 元素equate v. 使相等equation 方程Bernoulli equation 伯努利方程Bessel’s equation 贝赛尔方程characteristic equation 特征方程cubic equation 三次方程differential equation 微分方程eigenvector equation 特征向量方程exact differential equation 恰当微分方程higher-degree equation 高次方程homogeneous equation 齐次方程Legendre’s equation 勒让德方程linear first-order equation 一阶线性方程Logistic equation 逻辑斯蒂方程natural growth equation 自然增长方程ordinary differential equation 常微分方程partial differential equation 偏微分方程quadratic equation 二次方程reducible equation 可降阶方程second-degree equation 二次方程separable differential equation 可分离变量方程simultaneous equations 联立方程组equilibrium position 平衡位置equivalent 等价的be equivalent to 等价于equivalently 等价地error 误差average error 平均误差existence 存在existence-uniqueness theorem 存在唯一性定理exponent 指数negative exponent 负指数exponential 指数(的)exponential function 指数函数matrix exponential 矩阵指数factor n. 因式,因子v. 分解因式common factor 公因式,公因子integrating factor 积分因子linear factor 一次因式irreducible quadratic factor 二次不可约因式factorization n. 因子分解field 场、域direction field 方向场first 第一的the first two… 前两（个）……flow v. 流动n. 流量inflow n. 流入(量)outflow n. 流出(量)focus 焦点following 下面的force 力external force 外力external period ice force 周期性外力frictional force 摩擦力form 形式decimal form 小数形式explicit form 显式形式implicit form 隐式形式polar form 极坐标形式the standard form 标准形式upper triangular form 上三角形式former a. 以前的the former 前者formula 公式fraction 分式,分数frequency 频率function 函数analytic function 解析函数coefficient function 系数函数complementary function 补函数component function 分量函数constant-valued function 常数值函数continuous function 连续函数piecewise continuous function 分段连续函数decreasing function 单调减函数differentiable function 可微函数n times differentiable function n 阶可微函数twice differentiable function 二阶可微函数sufficiently differentiable function 足够阶可微函数discontinuous function 不连续函数elementary function 初等函数factorial function 分式函数increasing function 单调增函数matrix-valued function 矩阵值函数position function 位置函数rational function 有理函数real-valued function 实值函数trigonometric function 三角函数unknown function 未知函数vector-valued function 向量值函数generalize (to) v. 推广generalization n. 推广graph 图象hemispherical 半球形的hold v. 成立homogeneous 齐(次)的nonhomogenous 非齐(次)的hyperbolic 双曲型的hyperbolic cosine 双曲余弦hyperbolic sine 双曲正弦hypothesis n. 假设hypotheses n. 假设(复数形式)identity 恒等式identity principle 恒等原理trigonometric identity 三角恒等式illustrate v. 说明imaginary part 虚部immaterial a. 不重要的, 不相干的imply v. 意味着, 暗示impulse 脉冲independent a. 独立的, 不相关的independent of 独立于……inductor 电感器initial 开始的, 最初的initial condition 初始条件initial position 初始位置initial population 初始人口数initial velocity 初始速度integer 整数nonnegative integer 非负整数integral 积分definite integral 定积分improper integral 非正常积分indefinite integral 不定积分integral sign 积分号integrate v. 积分integrate by parts 分部积分integration n. 积分integration of both sides 两边积分interior n. 内部in terms of 根据interval 区间closed interval 闭区间interval of real number 实数区间open interval 开区间subinterval 子区间bounded subinterval 有界子区间the ends of the interval 区间的端点the whole interval 整个区间involve v. 包含，涉及Kepler’s laws of planetary motion 开普勒行星运动定律latter a. 后期的，末期的the latter 后者left-hand side 左边like 类似，相似like powers 同次幂like term 同类项limit 极限take the limit 取极限upper limit 上极限line 线，线条line segment 线段real line 实数轴straight line 直线tangent line 切线the line tangent (to) 与…相切的直线the entire real line 整个实轴linear 线性的linear combination 线性组合linear dependence 线性相关linear independence 线性无关nonlinear 非线性的linearly 线性地linearly dependent 线性相关的linearly independent 线性无关的linearly independent solutions 线性无关解linearity线性性liter 升logarithm 对数logarithmic term 含有对数的项long division 长除法major semi axis长半轴mass (物体的)质量mathematical model 数学模型mathematical modeling 数学建模matrix 矩阵augmented matrix 增广矩阵coefficient matrix 系数矩阵diagonal matrix 对角矩阵exponential matrix 指数矩阵fundamental matrix 基解矩阵identity matrix 单位矩阵inverse matrix 逆矩阵matrix addition 矩阵加法matrix multiplication 矩阵乘法nonsingular matrix 非奇异矩阵singular matrix 奇异矩阵square matrix 方阵upper triangular matrix 上三角矩阵zero matrix 零矩阵mean value theorem for integral 积分中值定理method 方法straightforward method 直接的方法minimum 最小值minus prep. 减,减去;负的minus sign 负号motion 运动free undamped motion 无阻尼自由运动simple harmonic motion 简谐运动multiply v. 乘,倍增multiplication n. 乘法multiplicity n. 重数nature 自然, 本质nilpotent 幂零的number 数complex number 复数imaginary number 虚数negative number 负数nonnegative number 非负数positive number 正数real number 实数unknown number 未知数numerator (分数的)分子operate v. 运算,作用operation n. 运算,操作elementary row operation 初等行变换operator 算子polynomial operator 多项式算子orbit 轨道order 阶first-order equation 一阶方程fourth-order equation 四阶方程of exponential order 指数阶的second-order equation 二阶方程nth-order equation n 阶方程the mixed second-order partial derivative 二阶混合偏导数the order of a differential equation 微分方程的阶origin 原点original 原来的the original equation 原方程the original form 原来的形式oscillate v. 振动oscillation n. 振动forced oscillation 强迫振动free oscillation 自由振动parabola 抛物线 [pə'ræbələ]parameter 参数variation of parameters 常数变易法parameterize v. 参数化parameterization n. 参数化particle 粒子phase angle 相角phase portrait 相图plane 平面point 点end point 端点isolated point 孤立点ordinary point 常点singular point 奇点regular singular point 正则奇点irregular singular point 非正则奇点polynomial多项式n th-degree polynomial n 次多项式a polynomial of degree n n 次多项式a polynomial of lower degree 次数较低的多项式Taylor polynomial 泰勒多项式possible 可能的possibility 可能性power 幂power function 幂函数in powers of x x 的幂in powers of x −a x −a 的幂presence 出现, 在场preceding 前面的prime 求导符号“撇”problem 问题mathematical problem 数学问题initial value problem 初始值问题proceed v. 继续进行, 继续下去product 乘, 积dot product 点积product rule 乘法法则scalar product 点积,数积,内积property 性质proposition 命题quotient 商radius 半径radius of convergence 收敛半径rate 速率at a rate of 以…的速率at a rate proportional to 以与…成正比的速率birth rate 出生率death rate 死亡率time rate of change o f (something) …关于时间的变化率interest rate 利率reactant 反应物readily 容易地real part 实部recall v. 记起,回顾rectangle 长方形, 矩形open rectangle 开矩形recurrence relation 递推关系many-term recurrence relation 多项间的递推关系two-term recurrence relation 两项间的递推关系recursion formula 递推公式reduce v. 化简, 简化, 约简reduction n. 化简, 简化, 约简reduction of order 降阶resistor 电阻器result n. 结果v. 导致(in)revolution n. 旋转right-hand side 右边root 根characteristic root 特征根complex root 复根double root 二重根equal roots 相等的根k-fold root k 重根rational root 有理根real root 实根repeated root 重根the square root 平方根triple root 三重根rotation n. 旋转counterclockwise rotation 逆时针旋转routine 例行的; 平凡的a routine matter 平凡的情形row 行scalar 纯量(的), 数量(的), 标量(的)series 级数binomial series 二项式级数geometric series 几何级数harmonic series 调和级数infinite series 无穷级数power series 幂级数convergent power series 收敛的幂级数power series representation 幂级数表示power series in x x的幂级数power series in x −a x −a 的幂级数power series solution 幂级数解Taylor series 泰勒级数set 集合show v. 证明side 边left-hand side 左边right-hand side 右边simple 简单的simplify v. 简化, 化简simplification n. 简化, 化简singularity奇异性slope 斜率slope field 斜率场smooth 光滑的piecewise smooth 逐段光滑的solute n. 溶质，溶解物solution n. 解explicit solution 显式解implicit solution 隐式解infinitely many solutions 无穷多解negative-valued solution 负值解period ice solution 周期解positive-valued solution 正值解singular solution 奇解solution curve 解曲线the (a) genera l solution 通解the particular solution 特解solve v. 解solvent n. 溶剂some 某个some open interval 某个开区间spring 弹簧spring constant弹性系数step 步骤finitely many steps 有限多步stretch 拉伸subject(to) a. 易受…的ad.在…条件下subscript 下标even subscript 偶下标odd subscript 奇下标substitute v. 代入substitution n. 代入direct substitution 直接代入back substitution 回代subtract v. 减去subtraction n. 减去suffice v. 足够sufficient n. 足够的, 充分的sufficient condition 充分条件sum n. 和sum zero 总和为零summand 被加数summation 求和(法), 累加, 加法the index of summation 求和的指标the sum of…and … …与…的和superposition叠加symmetry 对称symmetric form 对称形式system 方程组,系统first-order system 一阶方程组higher-order system 高阶方程组two-dimensional system 二维系统upper triangular system 上三角方程组take 取, 实行take the Laplace transform 取拉普拉斯变换take the limit 取极限tangent 正切(的),切线(的)be tangent to 与…相切time 时间per unit of time 单位时间time lag 时滞tank 箱, 柜, 罐water tank 水箱term 项constant term 常数项termwise addition 逐项相加term by term 逐项the first term 第一项the first few terms 前几项the genera l term 通项, 一般项the leading term 首项terminology 术语trajectory 轨道, 轨迹transform v. 转化n. 变换Laplace transform 拉普拉斯变换inverse Laplace transform 拉普拉斯反变换transformation n. 变换,转化transpose v. , n. 转置,移项triangle 三角(形)right triangle 直角三角形triple 三重的, 三次的, 三倍的triple eigenvalue 三重特征根trivial 平凡的, 不重要的trivial case 平凡情况nontrivial 非平凡的tuple 组n -tuple n 元组unique唯一的uniqueness 唯一性unique solution 唯一解unknown 未知的the unknown 未知量value 值numerical value 数值absolute value 绝对值variable 变量dependent variable 因变量independent variable 自变量variable of integration 积分变量vector 向量acceleration vector 加速度向量column vector 列向量constant vector 常数向量position vector 位置向量radius vector 向径, 矢径row vector 行向量solution vector 解向量unit vector 单位向量verify v. 证明vanish 等于零vanish identically 恒等于零variable 变量dependent variable 因变量independent variable 自变量separation of variable 变量分离voltage 电压volume 列Wronskian 伏朗斯基行列式yield 产生zero 零nonzero 非零。

力学名词英文翻译

广义连续统力学generalized continuum mechanics简单物质simple material纯力学物质purely mechanical material微分型物质material of differentialtype积分型物质material of integral type混合物组份constituents of a mixture非协调理论incompatibility theory微极理论micropolar theory决定性原理principle of determinism等存在原理principle of equipresence局部作用原理principle of objectivity客观性原理principle of objectivity电磁连续统理论theory of electromagnetic conti-nuum内时理论endochronic theory非局部理论nonlocal theory混合物理论theory of mixtures里夫林-矣里克森张量Rivlin-Ericksen tensor 声张量acoustic tensor半向同性张量hemitropic tensor各向同性张量isotropic tensor应变张量strain tensor伸缩张量stretch tensor连续旋错continuous dislination连续位错continuous dislocation动量矩平衡angular momentum balance余本构关系complementary constitutiverela-tions共旋导数co-rotational derivative, Jaumann derivative非完整分量anholonomic component爬升效应climbing effect协调条件compatibility condition错综度complexity当时构形current configuration能量平衡energy balance变形梯度deformation gradient有限弹性finite elasticity熵增entropy production标架无差异性frame indifference弹性势elastic potential熵不等式entropy inequality极分解polar decomposition低弹性hypoelasticity参考构形reference configuration响应泛函response functional动量平衡momentum balance奇异面singular surface贮能函数stored-energy function内部约束internal constraint物理分量physical components本原元primitive element普适变形universal deformation速度梯度velocity gradient测粘流动viscometric flow当地导数local derivative岩石力学rock mechanics原始岩体应力virgin rock stress构造应力tectonic stress三轴压缩试验three-axial compression test三轴拉伸试验three-axial tensile test 三轴试验triaxial test岩层静态应力lithostatic stress吕荣lugeon地压强geostatic pressure水力劈裂hydraulic fracture咬合[作用] interlocking内禀抗剪强度intrinsic shear strength 循环抗剪强度cyclic shear strength残余抗剪强度residual shear strength 土力学soil mechanics孔隙比void ratio内磨擦角angle of internal friction休止角angle of repose孔隙率porosity围压ambient pressure渗透系数coefficient of permeability [抗]剪切角angle of shear resistance 渗流力seepage force表观粘聚力apparent cohesion粘聚力cohesion稠度consistency固结consolidation主固结primary consolidation次固结secondary consolidation固结仪consolidometer浮升力uplift扩容dilatancy有效应力effective stress絮凝[作用] flocculation主动土压力active earth pressure 被动土压力passive earth pressure 土动力学soil dynamics应力解除stress relief次时间效应secondary time effect 贯入阻力penetration resistance 沙土液化liquefaction of sand泥流mud flow多相流multiphase flow马格努斯效应Magnus effect韦伯数Weber number环状流annular flow泡状流bubble flow层状流stratified flow平衡流equilibrium flow二组份流two-component flow冻结流frozen flow均质流homogeneous flow二相流two-phase flow气-液流gas-liquid flow气-固流gas-solid flow液-气流liquid-gas flow液-固流liquid-solid flow液体-蒸气流liquid-vapor flow浓相dense phase稀相dilute phase连续相continuous phase离散相dispersed phase悬浮suspension气力输运pneumatic transport气泡形成bubble formation体密度bulk density壅塞choking微滴droplet挟带entrainment流型flow pattern流[态]化fluidization界面interface跃动速度saltation velocity非牛顿流体力学non-Newtonian fluid mechanics非牛顿流体non-Newtonian fluid幂律流体power law fluid拟塑性流体pseudoplastic fluid触稠流体rheopectic fluid触变流体thixotropic fluid粘弹性流体viscoelastic fluid流变测量学rheometry震凝性rheopexy体[积]粘性bulk viscosity魏森贝格效应Weissenberg effect流变仪rheometer稀薄气体动力学rarefied gas dynamics物理化学流体力学physico-chemical hydrodynamics空气热化学aerothermochemistry绝对压强absolute pressure绝对反应速率absolute reaction rate绝对温度absolute temperature吸收系数absorption coefficient活化分子activated molecule活化能activation energy绝热压缩adiabatic compression绝热膨胀adiabatic expansion绝热火焰温度adiabatic flame temperature 电弧风洞arc tunnel原子热atomic heat雾化atomization自燃auto-ignition自动氧化auto-oxidation可用能量available energy缓冲作用buffer action松密度bulk density燃烧率burning rate燃烧速度burning velocity接触面contact surface烧蚀ablation连续过程continuous process碰撞截面collision cross section通用气体常数conventional gas constant 燃烧不稳定性combustion instability稀释度dilution完全离解complete dissociation火焰传播flame propagation组份constituent碰撞反应速率collision reaction rate燃烧理论combustion theory浓度梯度concentration gradient阴极腐蚀cathodic corrosion火焰速度flame speed火焰驻定flame stabilization火焰结构flame structure着火ignition湍流火焰turbulent flame层流火焰laminar flame燃烧带burning zone渗流flow in porous media,seepage达西定律Darcy law赫尔-肖流Hele-Shaw flow毛[细]管流capillary flow过滤filtration爪进fingering不互溶驱替immiscible displacement 不互溶流体immiscible fluid互溶驱替miscible displacement互溶流体miscible fluid迁移率mobility流度比mobility ratio渗透率permeability孔隙度porosity多孔介质porous medium比面specific surface迂曲度tortuosity空隙void空隙分数void fraction注水water flooding可湿性wettability地球物理流体动力学geophysical fluid dynamics物理海洋学physical oceanography大气环流atmospheric circulation海洋环流ocean circulation海洋流ocean current旋转流rotating flow平流advection埃克曼流Ekman flow埃克曼边界层Ekman boundary layer大气边界层atmospheric boundarylayer大气-海洋相互作用atmosphere-ocean interaction埃克曼数Ekman number罗斯贝数Rossby unmber罗斯贝波Rossby wave斜压性baroclinicity正压性barotropy内磨擦internal friction海洋波ocean wave盐度salinity环境流体力学environmental fluid mechanics斯托克斯流Stokes flow羽流plume理查森数Richardson number污染源pollutant source污染物扩散pollutant diffusion噪声noise噪声级noise level噪声污染noise pollution排放物effulent工业流体力学industrical fluid mechanics 流控技术fluidics轴向流axial flow并向流co-current flow对向流counter current flow横向流cross flow螺旋流spiral flow旋拧流swirling flow滞后流after flow混合层mixing layer抖振buffeting风压wind pressure附壁效应wall attachment effect,Coanda effect简约频率reduced frequency爆炸力学mechanics of explosion终点弹道学terminal ballistics动态超高压技术dynamic ultrahigh pressure tech-nique流体弹塑性体hydro-elastoplastic medium热塑不稳定性thermoplastic instability空中爆炸explosion in air地下爆炸underground explosion水下爆炸underwater explosion电爆炸discharge-induced explosion激光爆炸laser-induced explosion核爆炸nuclear explosion点爆炸point-source explosion殉爆sympathatic detonation强爆炸intense explosion粒子束爆炸explosion by beam radiation 聚爆implosion起爆initiation of explosion爆破blasting霍普金森杆Hopkinson bar电炮electric gun电磁炮electromagnetic gun爆炸洞explosion chamber轻气炮light gas gun马赫反射Mach reflection基浪base surge成坑cratering能量沉积energy deposition爆心explosion center爆炸当量explosion equivalent火球fire ball爆高height of burst蘑菇云mushroom侵彻penetration规则反射regular reflection崩落spallation应变率史strain rate history流变学rheology聚合物减阻drag reduction by polymers 挤出[物]胀大extrusion swell, die swell 无管虹吸tubeless siphon剪胀效应dilatancy effect孔压[误差]效应hole-pressure[error]effect 剪切致稠shear thickening剪切致稀shear thinning触变性thixotropy反触变性anti-thixotropy超塑性superplasticity粘弹塑性材料viscoelasto-plastic material滞弹性材料anelastic material本构关系constitutive relation麦克斯韦模型Maxwell model沃伊特-开尔文模型V oigt-Kelvin model宾厄姆模型Bingham model奥伊洛特模型Oldroyd model幂律模型power law model应力松驰stress relaxation应变史strain history应力史stress history记忆函数memory function衰退记忆fading memory应力增长stress growing粘度函数voscosity function相对粘度relative viscosity复态粘度complex viscosity拉伸粘度elongational viscosity拉伸流动elongational flow第一法向应力差first normal-stress difference第二法向应力差second normal-stress difference德博拉数Deborah number魏森贝格数Weissenberg number动态模量dynamic modulus振荡剪切流oscillatory shear flow宇宙气体动力学cosmic gas dynamics等离[子]体动力学plasma dynamics电离气体ionized gas行星边界层planetary boundary layer阿尔文波Alfven wave泊肃叶-哈特曼流] Poiseuille-Hartman flow 哈特曼数Hartman number生物流变学biorheology生物流体biofluid生物屈服点bioyield point生物屈服应力bioyield stress电气体力学electro-gas dynamics铁流体力学ferro-hydrodynamics血液流变学hemorheology, bloodrheology血液动力学hemodynamics磁流体力学magneto fluid mechanics磁流体动力学magnetohydrodynamics, MHD磁流体动力波magnetohydrodynamic wave 磁流体流magnetohydrodynamic flow磁流体动力稳定性magnetohydrodynamic stability生物力学biomechanics生物流体力学biological fluid mechanics 生物固体力学biological solid mechanics 宾厄姆塑性流Bingham plastic flow开尔文体Kelvin body沃伊特体V oigt body可贴变形applicable deformation可贴曲面applicable surface边界润滑boundary lubrication液膜润滑fluid film lubrication向心收缩功concentric work离心收缩功eccentric work关节反作用力joint reaction force微循环力学microcyclic mechanics微纤维microfibril渗透性permeability生理横截面积physiological cross-sectional area农业生物力学agrobiomechanics纤维度fibrousness硬皮度rustiness胶粘度gumminess粘稠度stickiness嫩度tenderness渗透流osmotic flow易位流translocation flow蒸腾流transpirational flow过滤阻力filtration resistance压扁wafering风雪流snow-driving wind停滞堆积accretion遇阻堆积encroachment沙漠地面desert floor流沙固定fixation of shifting sand流动阈值fluid threshold尘暴dust storm计尘仪koniscope盛行风prevailing wind输沙率rate of sand transporting重演距离repetition distance跃移[运动] saltation跃移质saltation load沙波纹sand ripple沙影sand shadow沙暴sand storm流沙shifting sand翻滚tumble植物固沙vegetative sand-control流速线velocity line泥石流debris flow连续泥石流continuous debris flow 泥石铺床bed-predeposit of mud泥石流地声geosound of debris flow 气浪airsurge冻胀力frost heaving pressure冻土强度frozen soil strength雪崩avalanche冰崩iceslide冰压力ice pressure重力侵蚀gravity erosion分凝势segregation potential滑波landslide山洪torrent爆发blow up雪暴snowstorm火爆fire storm闪点flash point闪耀flare up阴燃smolder轰燃flashover飞火spotting, firebrand地表火surface fire地下火ground fire树冠火crown fire烛炬火candling fire狂燃火running fire火焰强度flame intensity火焰辐射flame radiation火龙卷fire tornado火旋涡fire whirl火蔓延fire spread对流柱convection column隔火带fire line隔火带强度fireline intensity非线性动力学nonlinear dynamics动态系统dynamical system原象preimage控制参量control parameter霍普夫分岔Hopf bifurcation倒倍周期分岔inverse period- doubling bifurca-tion全局分岔global bifurcation魔[鬼楼]梯devil's staircase非线性振动nonlinear vibration侵入物invader锁相phase- locking猎食模型predator- prey model[状]态空间state space[状]态变量state variable吕埃勒-塔肯斯道路Ruelle- Takens route 斯梅尔马蹄Smale horseshoe混沌chaos李-约克定理Li-Yorke theorem李-约克混沌Li-Yorke chaos洛伦茨吸引子Lorenz attractor混沌吸引子chaotic attractorKAM环面KAM torus费根鲍姆数Feigenbaum number费根鲍姆标度律Feigenbaum scaling KAM定理Kolmogorov-Arnol'd Moser theorem, KAM theorem勒斯勒尔方程Rossler equation混沌运动chaotic motion费根鲍姆函数方程Feigenbaum functional equation蝴蝶效应butterfly effect同宿点homoclinic point异宿点heteroclinic point同宿轨道homoclinic orbit异宿轨道heteroclinic orbit排斥子repellor超混沌hyperchaos阵发混沌intermittency chaos内禀随机性intrinsic stochasticity含混吸引子vague attractor [of Kolmogorov]VAK奇怪吸引子strange attractorFPU问题Fermi-Pasta- Ulam problem,FPU problem初态敏感性sensitivity to initial state反应扩散方程reaction-diffusion equation 非线性薛定谔方程nonlinear Schrodinger equation逆散射法inverse scattering method孤[立]波solitary wave奇异摄动singular perturbation正弦戈登方程sine-Gorden equation科赫岛Koch island豪斯多夫维数Hausdorff dimensionKS[动态]熵Kolmogorov-Sinai entropy, KS entropy卡普兰-约克猜想Kaplan -Yorke conjecture 康托尔集[合] Cantor set欧几里得维数Euclidian dimension茹利亚集[合] Julia set科赫曲线Koch curve谢尔平斯基海绵Sierpinski sponge李雅普诺夫指数Lyapunov exponent芒德布罗集[合] Mandelbrot set李雅普诺夫维数Lyapunov dimension谢尔平斯基镂垫Sierpinski gasket雷尼熵Renyi entropy雷尼信息Renyi information分形fractal分形维数fractal dimension分形体fractal胖分形fat fractal退守物defender覆盖维数covering dimension信息维数information dimension度规熵metric entropy多重分形multi-fractal关联维数correlation dimension拓扑熵topological entropy拓扑维数topological dimension拉格朗日湍流Lagrange turbulence布鲁塞尔模型Brusselator贝纳尔对流Benard convection瑞利-贝纳尔不稳定性Rayleigh-Benard instability闭锁键blocked bond元胞自动机cellular automaton浸渐消去法adiabatic elimination连通键connected bond, unblocked bond自旋玻璃spin glass窘组frustration窘组嵌板frustration plaquette窘组函数frustration function窘组网络frustration network窘组位形frustrating configuration逾渗通路percolation path逾渗阈[值] percolation threshold入侵逾渗invasion percolation扩程逾渗extend range percolation多色逾渗polychromatic percolation快变量fast variable慢变量slow variable卷筒图型roll pattern六角[形]图形hexagon pattern主[宰]方程master equation役使原理slaving principle耗散结构dissipation structure离散流体[模型] discrete fluid自相似解self-similar solution协同学synergetics自组织self-organization跨越集团spanning cluster奇点singularity多重奇点multiple singularity多重定态multiple steady state不动点fixed point吸引子attractor自治系统autonomous system结点node焦点focus简单奇点simple singularity单切结点one-tangent node极限环limit cycle中心点center鞍点saddle [point]映射map[ping]逻辑斯谛映射logistic map[ping]沙尔科夫斯基序列Sharkovskii sequence 面包师变换baker's transformation吸引盆basin of attraction生灭过程birth-and death process台球问题biliard ball problem庞加莱映射Poincar'e map庞加莱截面Poincar'e section猫脸映射cat map[of Arnosov][映]象image揉面变换kneading transformation倍周期分岔period doubling bifurcation单峰映射single hump map[ping]圆[周]映射circle map[ping]埃农吸引子Henon attractor分岔bifurcation分岔集bifurcation set余维[数] co-dimension叉式分岔pitchfork bifurcation鞍结分岔saddle-node bifurcation次级分岔secondary bifurcation跨临界分岔transcritical bifurcation开折unfolding切分岔tangent bifurcation普适性universality突变catastrophe突变论catastrophe theory折叠[型突变] fold [catastrophe]尖拐[型突变] cusp [catastrophe]燕尾[型突变] swallow tail抛物脐[型突变] parabolic umbilic双曲脐[型突变] hyperbolic umbilic椭圆脐[型突变] elliptic umbilic蝴蝶[型突变] butterfly阿诺德舌[头] Arnol'd tongueBZ反应Belousov-Zhabotinskireaction, BZ reaction法里序列Farey sequence法里树Farey tree洛特卡-沃尔泰拉方程Lotka-V olterra equation 梅利尼科夫积分Mel'nikov integral锁频frequency-locking滞后[效应] hysteresis突跳jump准周期振动quasi-oscillation。

固体力学英语词汇翻译(1)

固体力学英语词汇翻译(1)固体力学英语词汇翻译(1)固体力学英语词汇翻译(1)弹性力学elasticity弹性理论theory of elasticity均匀应力状态homogeneous state of stress应力不变量stress invariant应变不变量strain invariant应变椭球strain ellipsoid均匀应变状态homogeneous state of strain应变协调方程equation of strain compatibility拉梅常量lame constants各向同性弹性isotropic elasticity旋转圆盘rotating circular disk楔wedge开尔文问题kelvin problem布西内斯克问题boussinesq problem艾里应力函数airy stress function克罗索夫-穆斯赫利什维利法kolosoff-muskhelishvili method基尔霍夫假设kirchhoff hypothesis板plate矩形板rectangular plate圆板circular plate环板annular plate波纹板corrugated plate加劲板stiffened plate,reinforced plate中厚板plate of moderate thickness弯[曲]应力函数stress function of bending 壳shell扁壳shallow shell旋转壳revolutionary shell球壳spherical shell[圆]柱壳cylindrical shell锥壳conical shell环壳toroidal shell封闭壳closed shell波纹壳corrugated shell扭[转]应力函数stress function of torsion 翘曲函数warping function半逆解法semi-inverse method瑞利--里茨法rayleigh-ritz method松弛法relaxation method莱维法levy method松弛relaxation量纲分析dimensional analysis自相似[性] self-similarity影响面influence surface接触应力contact stress赫兹理论hertz theory协调接触conforming contact滑动接触sliding contact滚动接触rolling contact压入indentation各向异性弹性anisotropic elasticity颗粒材料granular material散体力学mechanics of granular media 热弹性thermoelasticity超弹性hyperelasticity粘弹性viscoelasticity对应原理correspondence principle褶皱wrinkle塑性全量理论total theory of plasticity 滑动sliding微滑microslip粗糙度roughness非线性弹性nonlinear elasticity 大挠度large deflection突弹跳变snap-through有限变形finite deformation格林应变green strain阿尔曼西应变almansi strain弹性动力学dynamic elasticity运动方程equation of motion准静态的quasi-static气动弹性aeroelasticity水弹性hydroelasticity颤振flutter弹性波elastic wave简单波simple wave柱面波cylindrical wave水平剪切波horizontal shear wave 竖直剪切波vertical shear wave 体波body wave无旋波irrotational wave畸变波distortion wave膨胀波dilatation wave瑞利波rayleigh wave等容波equivoluminal wave勒夫波love wave界面波interfacial wave边缘效应edge effect塑性力学plasticity可成形性formability金属成形metal forming耐撞性crashworthiness结构抗撞毁性structural crashworthiness拉拔drawing破坏机构collapse mechanism回弹springback挤压extrusion冲压stamping穿透perforation层裂spalling塑性理论theory of plasticity安定[性]理论shake-down theory运动安定定理kinematic shake-down theorem 静力安定定理static shake-down theorem率相关理论rate dependent theorem载荷因子load factor加载准则loading criterion加载函数loading function加载面loading surface塑性加载plastic loading塑性加载波plastic loading wave 简单加载simple loading比例加载proportional loading 卸载unloading卸载波unloading wave冲击载荷impulsive load阶跃载荷step load脉冲载荷pulse load极限载荷limit load中性变载nentral loading拉抻失稳instability in tension 加速度波acceleration wave本构方程constitutive equation 完全解complete solution名义应力nominal stress过应力over-stress真应力true stress等效应力equivalent stress流动应力flow stress应力间断stress discontinuity应力空间stress space主应力空间principal stress space静水应力状态hydrostatic state of stress对数应变logarithmic strain工程应变engineering strain等效应变equivalent strain应变局部化strain localization应变率strain rate应变率敏感性strain rate sensitivity应变空间strain space有限应变finite strain塑性应变增量plastic strain increment累积塑性应变accumulated plastic strain永久变形permanent deformation内变量internal variable应变软化strain-softening理想刚塑性材料rigid-perfectly plastic material刚塑性材料rigid-plastic material理想塑性材料perfectl plastic material材料稳定性stability of material应变偏张量deviatoric tensor of strain应力偏张量deviatori tensor of stress应变球张量spherical tensor of strain应力球张量spherical tensor of stress路径相关性path-dependency线性强化linear strain-hardening应变强化strain-hardening随动强化kinematic hardening各向同性强化isotropic hardening强化模量strain-hardening modulus幂强化power hardening塑性极限弯矩plastic limit bending moment塑性极限扭矩plastic limit torque弹塑性弯曲elastic-plastic bending弹塑性交界面elastic-plastic interface弹塑性扭转elastic-plastic torsion粘塑性viscoplasticity非弹性inelasticity理想弹塑性材料elastic-perfectly plastic material极限分析limit analysis极限设计limit design极限面limit surface上限定理upper bound theorem上屈服点upper yield point下限定理lower bound theorem下屈服点lower yield point界限定理bound theorem初始屈服面initial yield surface后继屈服面subsequent yield surface屈服面[的]外凸性convexity of yield surface 截面形状因子shape factor of cross-section 沙堆比拟sand heap analogy屈服yield屈服条件yield condition屈服准则yield criterion屈服函数yield function屈服面yield surface塑性势plastic potential能量吸收装置energy absorbing device能量耗散率energy absorbing device塑性动力学dynamic plasticity塑性动力屈曲dynamic plastic buckling塑性动力响应dynamic plastic response塑性波plastic wave运动容许场kinematically admissible field静力容许场statically admissible field流动法则flow rule速度间断velocity discontinuity滑移线slip-lines滑移线场slip-lines field移行塑性铰travelling plastic hinge塑性增量理论incremental theory of plasticity米泽斯屈服准则mises yield criterion普朗特--罗伊斯关系prandtl- reuss relation特雷斯卡屈服准则tresca yield criterion洛德应力参数lode stress parameter莱维--米泽斯关系levy-mises relation亨基应力方程hencky stress equation赫艾--韦斯特加德应力空间haigh-westergaard stress space 洛德应变参数lode strain parameter德鲁克公设drucker postulate盖林格速度方程geiringer velocity equation结构力学structural mechanics结构分析structural analysis结构动力学structural dynamics拱arch三铰拱three-hinged arch抛物线拱parabolic arch圆拱circular arch穹顶dome空间结构space structure空间桁架space truss雪载[荷] snow load风载[荷] wind load土压力earth pressure地震载荷earthquake loading弹簧支座spring support支座位移support displacement支座沉降support settlement超静定次数degree of indeterminacy 机动分析kinematic analysis结点法method of joints截面法method of sections结点力joint forces共轭位移conjugate displacement影响线influence line三弯矩方程three-moment equation单位虚力unit virtual force刚度系数stiffness coefficient柔度系数flexibility coefficient力矩分配moment distribution力矩分配法moment distribution method力矩再分配moment redistribution分配系数distribution factor矩阵位移法matri displacement method单元刚度矩阵element stiffness matrix单元应变矩阵element strain matrix总体坐标global coordinates贝蒂定理betti theorem高斯--若尔当消去法gauss-jordan elimination method 屈曲模态buckling mode复合材料力学mechanics of composites复合材料composite material纤维复合材料fibrous composite单向复合材料unidirectional composite泡沫复合材料foamed composite颗粒复合材料particulate composite层板laminate夹层板sandwich panel正交层板cross-ply laminate斜交层板angle-ply laminate层片ply多胞固体cellular solid膨胀expansion压实debulk劣化degradation脱层delamination脱粘debond纤维应力fiber stress层应力ply stress层应变ply strain层间应力interlaminar stress比强度specific strength强度折减系数strength reduction factor 强度应力比strength -stress ratio横向剪切模量transverse shear modulus 横观各向同性transverse isotropy正交各向异orthotropy剪滞分析shear lag analysis短纤维chopped fiber长纤维continuous fiber纤维方向fiber direction纤维断裂fiber break纤维拔脱fiber pull-out纤维增强fiber reinforcement致密化densification最小重量设计optimum weight design网格分析法netting analysis混合律rule of mixture失效准则failure criterion蔡--吴失效准则tsai-w u failure criterion达格代尔模型dugdale model断裂力学fracture mechanics概率断裂力学probabilistic fracture mechanics格里菲思理论griffith theory线弹性断裂力学linear elastic fracture mechanics, lefm 弹塑性断裂力学elastic-plastic fracture mecha-nics, epfm 断裂fracture脆性断裂brittle fracture解理断裂cleavage fracture蠕变断裂creep fracture延性断裂ductile fracture晶间断裂inter-granular fracture准解理断裂quasi-cleavage fracture 穿晶断裂trans-granular fracture裂纹crack裂缝flaw缺陷defect割缝slit微裂纹microcrack折裂kink椭圆裂纹elliptical crack深埋裂纹embedded crack[钱]币状裂纹penny-shape crack预制裂纹precrack短裂纹short crack表面裂纹surface crack裂纹钝化crack blunting裂纹分叉crack branching裂纹闭合crack closure裂纹前缘crack front裂纹嘴crack mouth裂纹张开角crack opening angle,coa裂纹张开位移crack opening displacement, cod 裂纹阻力crack resistance固体力学英语词汇翻译(1) 相关内容:。

一阶拟线性退化双曲方程

％％％％　使用ＣＣＴ－ＬａＴｅＸ编译，　用ＣＣＴ－ＤＶＩ显示打印　％％％％　或使用ＣＣＴ－ＰＳ－ＬａＴｅＸ编译，　用ＹＡＰ显示打印或ＰＳ显示打印＼ｄｏｃｕｍｅｎｔｃｌａｓｓ［１２ｐｔ，ｔｗｏｓｉｄｅ］｛ｌｕｎｗｅｎ｝　＼ｕｓｅｐａｃｋａｇｅ｛ａｍｓｓｙｍｂ｝　＼ｐａｇｅｓｔｙｌｅ｛ｈｅａｄｉｎｇｓ｝　＼ｈｅａｄｈｅｉｇｈｔ＝８ｍｍ　＼ｔｅｘｔｗｉｄｔｈ＝１４．５ｔｒｕｅｃｍ　＼ｔｅｘｔｈｅｉｇｈｔ＝１９ｔｒｕｅｃｍ　＼ｏｄｄｓｉｄｅｍａｒｇｉｎ＝０ｍｍ　＼ｅｖｅｎｓｉｄｅｍａｒｇｉｎ＝０ｍｍ　＼ｈｅａｄｓｅｐ＝８ｍｍ　＼ｔｏｐｍａｒｇｉｎ＝０ｍｍ　＼ｆｏｎｔ＼ｓｓｓ＝ｃｍｓｓ１０　ｓｃａｌｅｄ　１７２８　％％％％％％％宏定义　＼ｌｅｔ＼ｏｌｄｓｅｃｔｉｏｎ＼ｓｅｃｔｉｏｎ　＼ｒｅｎｅｗｃｏｍｍａｎｄ＼ｓｅｃｔｉｏｎ｛＼ｓｅｔｃｏｕｎｔｅｒ｛ｅｑｕａｔｉｏｎ｝｛０｝＼ｏｌｄｓｅｃｔｉｏｎ｝　＼ｒｅｎｅｗｃｏｍｍａｎｄ＼ｔｈｅｓｅｃｔｉｏｎ｛＼ａｒａｂｉｃ｛ｓｅｃｔｉｏｎ｝｝　＼ｒｅｎｅｗｃｏｍｍａｎｄ＼ｔｈｅｅｑｕａｔｉｏｎ｛＼ｔｈｅｓｅｃｔｉｏｎ．＼ａｒａｂｉｃ｛ｅｑｕａｔｉｏｎ｝｝　＼ｎｅｗｔｈｅｏｒｅｍ｛ｔｈｅｏｒｅｍ｝｛＼ｉｎｄｅｎｔ定理｝［ｓｅｃｔｉｏｎ］　＼ｎｅｗｔｈｅｏｒｅｍ｛ｌｅｍｍａ｝｛＼ｉｎｄｅｎｔ引理｝［ｓｅｃｔｉｏｎ］　＼ｎｅｗｔｈｅｏｒｅｍ｛ｐｒｏｐｏｓｉｔｉｏｎ｝｛＼ｉｎｄｅｎｔ命题｝［ｓｅｃｔｉｏｎ］　＼ｎｅｗｔｈｅｏｒｅｍ｛ｄｅｆｉｎｉｔｉｏｎ｝｛＼ｉｎｄｅｎｔ定义｝［ｓｅｃｔｉｏｎ］　＼ｎｅｗｔｈｅｏｒｅｍ｛ｒｅｍａｒｋ｝｛＼ｉｎｄｅｎｔ注｝［ｓｅｃｔｉｏｎ］　＼ｎｅｗｔｈｅｏｒｅｍ｛ｃｏｒｏｌｌａｒｙ｝｛＼ｉｎｄｅｎｔ推论｝［ｓｅｃｔｉｏｎ］　＼ｎｅｗｔｈｅｏｒｅｍ｛ｅｘａｍｐｌｅ｝｛＼ｉｎｄｅｎｔ例｝　＼ｄｅｆ＼ｐｄ＃１＃２｛＼ｆｒａｃ｛＼ｐａｒｔｉａｌ＃１｝｛＼ｐａｒｔｉａｌ＃２｝｝　＼ｄｅｆ＼ｉｉｎｔ｛＼ｕｉｎｔ＼！＼！＼ｕｉｎｔ｝　＼ｄｅｆ＼ｄｉｎｔ｛＼ｄｉｓｐｌａｙｓｔｙｌｅ＼ｉｎｔ｝　＼ｄｅｆ＼ｕｉｎｔ｛＼ｄｉｓｐｌａｙｓｔｙｌｅ｝　＼ｄｅｆ＼ｄｆｒａｃ｛＼ｄｉｓｐｌａｙｓｔｙｌｅ＼ｆｒａｃ｝　＼ｄｅｆ＼ｄｓｕｐ｛＼ｄｉｓｐｌａｙｓｔｙｌｅ＼ｓｕｐ｝　＼ｄｅｆ＼ｄｓｕｍ｛＼ｄｉｓｐｌａｙｓｔｙｌｅ＼ｓｕｍ｝　＼ｄｅｆ＼ｄｌｉｍ｛＼ｄｉｓｐｌａｙｓｔｙｌｅ＼ｌｉｍ｝　＼ｄｅｆ＼ｈａｎｇ｛＼ｈａｎｇｉｎｄｅｎｔ＼ｐａｒｉｎｄｅｎｔ｝　＼ｄｅｆ＼ｔｅｘｔｉｎｄｅｎｔ＃１｛＼ｉｎｄｅｎｔ＼ｌｌａｐ｛＃１＼ｅｎｓｐａｃｅ｝＼ｉｇｎｏｒｅｓｐａｃｅｓ｝　＼ｄｅｆ＼ｒｅ｛＼ｐａｒ＼ｈａｎｇ＼ｔｅｘｔｉｎｄｅｎｔ｝　＼ｒｅｎｅｗｃｏｍｍａｎｄ｛＼ｂａｓｅｌｉｎｅｓｔｒｅｔｃｈ｝｛１．４｝　＼ｂｅｇｉｎ｛ｄｏｃｕｍｅｎｔ｝　％％％％％％％自定义书眉　＼ｆｏｎｔ＼ｔｅｎｒｍ＝ｃｍｒ１０　＼ｄｅｆ＼ｒｅ｛＼ｐａｒ＼ｈａｎｇ＼ｔｅｘｔｉｎｄｅｎｔ｝　＼ｆｏｎｔ＼ｓｊｌｄｘ＝ｓｊｌｄｘ　％＼ｄｅｆ＼ＪＬＤＸ｛＼ｓｊｌｄｘ＼ｈｂｏｘ　ｔｏ　１６ｍｍ｛＼ｃｈａｒ０＼ｈｓｓ＼ｃｈａｒ１＼ｈｓｓ＼ｃｈａｒ２＼ｈｓｓ＼ｃｈａｒ３｝｝　％　ｄｐｉ６００　＼ｄｅｆ＼ＪＬＤＸ｛＼ｓｊｌｄｘ＼ｈｂｏｘ　ｔｏ　２０ｍｍ｛＼ｃｈａｒ０＼ｈｓｓ＼ｃｈａｒ１＼ｈｓｓ＼ｃｈａｒ２＼ｈｓｓ＼ｃｈａｒ３｝｝　％　ｄｐｉ３００　＼ｄｅｆ＼ｅｖｅｎｈｅａｄ｛＼ｓｏｎｇｔｉ＼ＪＬＤＸ硕士学位论文｝　＼ｄｅｆ＼ｏｄｄｈｅａｄ｛＼ｓｏｎｇｔｉ　一阶拟线性退化双曲方程以局部有限测度为初值的＼ｍｂｏｘ｛　ＢＶ｝解｝　＼ｄｅｆ＼ｍｙｐａｇｅ｛＼ｈｂｏｘ｛＼ｓｏｎｇｔｉ第｝＼　＼ｒｍ＼ｔｈｅｐａｇｅ＼　＼ｈｂｏｘ｛＼ｓｏｎｇｔｉ页｝｝　％％％％％％％书眉定义结束　＼ｓｅｔｃｏｕｎｔｅｒ｛ｐａｇｅ｝｛－２｝％％　设置前几页不标页码　％％％％封页　＼ｔｈｉｓｐａｇｅｓｔｙｌｅ｛ｅｍｐｔｙ｝％％　这一页不标页码　＼ｖｂｏｘ　ｔｏ　３ｔｒｕｅｍｍ｛｝　＼ｌｅｆｔｓｋｉｐ　０ｔｒｕｅｍｍ　论文分类号：　Ｏ１７５．２９　＼ｈｓｋｉｐ３．８ｃｍ单￣￣位￣￣代￣￣号１０１８３　＼ｐａｒ　密＼ｑｑｕａｄ￣￣级＼ｑｕａｄ　内部＼ｈｓｋｉｐ４．３ｃｍ研＼ｈｓｋｉｐ１．６ｍｍ究＼ｈｓｋｉｐ１．６ｍｍ生＼ｈｓｋｉｐ１．６ｍｍ学＼ｈｓｋｉｐ１．６ｍｍ号１０００１０１９　＼ｐａｒ　＼ｖｂｏｘ　ｔｏ　８ｔｒｕｅｍｍ｛｝　＼ｂｅｇｉｎ｛ｃｅｎｔｅｒ｝　＼ｚｉｔｉ｛Ｆ｝＼ｚｉｈａｏ｛１｝＼ｚｉｊｕ｛１．５｝　吉林大学　＼ｅｎｄ｛ｃｅｎｔｅｒ｝　＼ｖｓｋｉｐ　４ｍｍ　＼ｂｅｇｉｎ｛ｃｅｎｔｅｒ｝　＼ｚｉｔｉ｛Ｆ｝＼ｚｉｈａｏ｛２｝＼ｚｉｊｕ｛１．５｝　硕士学位论文　＼ｅｎｄ｛ｃｅｎｔｅｒ｝　＼ｖｂｏｘ　ｔｏ　１０ｔｒｕｅｍｍ｛｝　＼ｂｅｇｉｎ｛ｃｅｎｔｅｒ｝　＼ｈｅｉｔｉ＼ｚｉｈａｏ｛３｝＼ｚｉｊｕ｛０．８｝　一阶拟线性退化双曲方程以局部　＼＼　有限测度为初值的＼ｍｂｏｘ｛＼ｌａｒｇｅ　＼ｍｂｏｘ｛ＢＶ｝｝解　＼ｅｎｄ｛ｃｅｎｔｅｒ｝　＼ｖｓｋｉｐ２ｍｍ　＼ｂｅｇｉｎ｛ｃｅｎｔｅｒ｝　＼ｌａｒｇｅ　｛＼ｆａｎｇｓｏｎｇ　＼ｍｂｏｘ｛ＢＶ｝　ＳＯＬＵＴＩＯＮＳＦＯＲＡＱＵＡＳＩＬＩＮＥＡＲＤＥＧＥＮＥＲＡＴＥ　ＨＹＰＥＲＢＯＬＩＣ　ＥＱＵＡＴＩＯＮ　ＯＦ　ＦＩＲＳＴ　ＯＲＤＥＲ　ＷＩＴＨ　ＬＯＣＡＬ　ＦＩＮＩＴＥＭＥＡＳＵＲＥ　ＡＳ　ＩＮＩＴＩＡＬ　ＣＯＮＤＩＴＩＯＮＳ｝　＼ｅｎｄ｛ｃｅｎｔｅｒ｝　＼ｖｂｏｘ　ｔｏ　７０ｔｒｕｅｍｍ｛　＼ｓｏｎｇｔｉ＼ｚｉｈａｏ｛３｝　＼ｌｅｆｔｓｋｉｐ　２０ｔｒｕｅｍｍ　＼ｖｓｋｉｐ１５ｍｍ　￥　＼ｂｅｇｉｎ｛ａｒｒａｙ｝｛ｌｌｌ｝　＼ｈｂｏｘ｛作者姓名：｝＆＼ｈｂｏｘ｛许孝精｝　＼＼［３ｍｍ］　＼ｈｂｏｘ｛专业：｝＆＼ｈｂｏｘ｛基础数学｝　＼＼［３ｍｍ］　＼ｈｂｏｘ｛导师姓名：｝＆＼ｈｂｏｘ｛袁洪君｝＼＼［３ｍｍ］　＼ｈｂｏｘ｛职称：｝＆＼ｈｂｏｘ｛教　授｝　＼ｅｎｄ｛ａｒｒａｙ｝　￥　＼ｌｅｆｔｓｋｉｐ　２０ｔｒｕｅｍｍ　＼ｖｓｋｉｐ１０ｍｍ　＼ｈｓｋｉｐ　１０ｍｍ论文起止年月：＼Ｌａｒｇｅ２００１年３月至２００２年５月　＼ｌｅｆｔｓｋｉｐ０ｍｍ　｝　＼ｎｅｗｐａｇｅ　％％％％致谢　＼ｔｈｉｓｐａｇｅｓｔｙｌｅ｛ｅｍｐｔｙ｝％％　这一页不标页码　＼ｖｂｏｘ　ｔｏ　２５ｔｒｕｅｍｍ｛｝　＼ｂｅｇｉｎ｛ｃｅｎｔｅｒ｝　＼ｚｉｈａｏ｛２｝＼ｈｅｉｔｉ　致谢　＼ｅｎｄ｛ｃｅｎｔｅｒ｝　＼ｖｓｋｉｐ１０ｍｍ＼ｓｏｎｇｔｉ＼ｚｉｈａｏ｛４｝　＼ｐａｒｉｎｄｅｎｔ＝２．０４＼ｃｃｗｄ　｛＼ｓｏｎｇｔｉ＼ｚｉｈａｏ｛４｝　首先，　我要由衷的感谢我的导师袁洪君教授，　感谢他把我引入了对“双曲型偏微分方程”的　研究中来，　并带我走进了双曲型偏微分方程研究的最前沿。

耗散系统弱解整体存在性

耗散系统弱解整体存在性黄金红【摘要】研究带耗散项的双曲守恒律方程组弱解的整体存在性.对于此类问题,Dafermos和肖玲已经有过具体的研究,但要求非齐次项线性部分为严格对角占优矩阵.本文将条件改为只要求非齐次项对应矩阵的特征值大于零,但要求矩阵为可对角化矩阵.%We address the global existence of weak solutions to hyperbolic system of balance laws with dissipation.The issue has been discussed by Dafermos and Hsiao.However,in their study,the main condition to guarantee the existence of the solution is that the matrix of the linear part of the dissipative terms is a diagonally dominant matrix.In this paper,the condition proposed is that the eigen values of the linear part of the dissipative terms（which is an n × n constant matrix） are all positive,but the matrix is a diagonalizable one.【期刊名称】《西安文理学院学报（自然科学版）》【年(卷),期】2012(015)002【总页数】6页(P16-21)【关键词】耗散性;严格双曲方程组;整体解【作者】黄金红【作者单位】南京航空航天大学理学院,江苏南京211106【正文语种】中文【中图分类】O175.28本文考虑平衡律方程组其中，U为n维向量，流函数F(U)及源函数G(U)均为B到Rn的光滑函数，B是Rn中以原点为圆心，ρ为半径的球.当F，G不仅仅依赖于解U，且依赖于变量x，t时，方程组(1)具有如下形式Dafermos和肖玲在文［5］中利用Glimm格式讨论了问题(3)(2)整体解存在性问题，他们引入矩阵其中R(U，x，t)=(R1(U，x，t)，R2(U，x，t)，…，Rn(U，x，t))是一个n×n矩阵，R1(U，x，t)，R2(U，x，t)，…，Rn(U，x，t)为FU(U，x，t)的n个线性无关的右特征向量，GU(U，x，t)为G(U，x，t)关于U的Jacobi矩阵.在原点U=0邻域内，源函数G的耗散性体现在矩阵A的性质上.特别地，称源函数G为强耗散的，如果可以适当地选择矩阵R(U，x，t)使得矩阵A成为严格对角占优矩阵，即当G(U，x，t)具有强耗散性，并且初值满足一定的条件时，Dafermos和肖玲利用随机取点的方法证明了在BV空间中问题(3)(2)解的整体存在性.本文，我们将证明条件(5)可以改变为，矩阵GU(0，x，t)可对角化且特征值实部均大于零.我们只考虑F，G不依赖于变量x，t的情形.记矩阵GU(0)的对角型为B，此时存在可逆矩阵P满足本文主要结果:定理1 假定G(U)=0，方程组(1)为严格双曲的，所有特征要么是真正非线性的，要么是线性退化的.初值U0全变差有界，并将其定义为初值U0取值于Br(0)(Rn中一开球)，是绝对可积的，记其积分值为δ矩阵GU(0)可对角化且特征值的实部均为正的.在以上假定均成立的情况下，存在δ0，ρ0，当δ＜δ0，ρ＜ρ0时，在BV空间中Cauchy问题(1)(2)的弱解U(x，t)整体存在，且对任意的t∈(0，+∞)，U(x，t)绝对可积，且全变差有界.1 近似解的构造利用改进的Glimm格式中随机取点法构造方程组(1)的基本解Uh(t，x).取数列{α0，α1，…，αm，…}⊂(-1，1)为随机数列，固定h＞0为空间步长，选取s为时间步长，s，h满足CFL条件，保证了同时由相距为2h的点发出的两个波不会相交.用t=ms将(x，t)坐标系的上半平面分成一系列带状区域:并将网格点记为(kh，ms).对每个满足m+k=odd的k，选取随机点(xk，m，ms)(xk，m=(k+αm)h)，在t= 0上定义Uh(x，t)=U(x，0).假定在带状区域内，Uh(x，t)已有定义，我们将其定义域扩充到下一带状区域Sm.首先定义t=ms上Riemann问题(1)(2)的近似解为在带状区域Sm内解Riemann问题并记其解为由于非齐次项的影响，将问题(1)(2)在Sm内的近似解定义为可以证明Uh(x，t)满足平衡律方程组.为方便起见引入如下定义2 基本波相互作用估计及Glimm泛函单调性解Riemann问题(11)(12)的过程中，我们得到n个基本波，其中包含激波，疏散波和接触间断.用α=(α1，α2，…，αn)表示方程组的解，α1，α2，…，αn为对应的n个基本波.下文中β=(β1，β2，…，βn)，γ= (γ1，γ2，…，γn)也有同样的意义.由Riemann问题解的惟一性，波的左右状态决定了振幅向量，同样的，振幅向量和左(右)状态决定了右(左)状态.并且，如果我们用U-，U+表示波的左右状态，用ε表示包含有n个基本波的Riemann问题的解，则存在二次连续可微函数Φ(U-，ε)，Ψ(U+，ε)和γ(U-，U+)满足以下关系式:一般来讲我们利用它们的绝对值大小表示波的强度.例如|αi|表示基本波αi的强度，α的强度可定义为事实上，定义波的强度的方式很多.这里我们利用可逆矩阵的性质重新定义一种新的波的强度.我们指出，对任意可逆矩阵Q，Qα同样可以等价地表示波的强度.引入如下记号只需证明与|α|是等价的.即证明存在实数c满足本文选取矩阵Q=P-1，P为(6)给定的矩阵，即表示α的强度.其等价性是显然的.由近似解的构造可知这里联立等式(17)、(18)和(19)，可以得到由隐函数定理知，在(α，β，s)=(0，0，0)的小邻域内，γ是关于α，β和s的二次连续可微函数.记之为为了得到基本波的相互作用估计，我们引入如下引理:引理1 对任意的二次连续可微函数f(x，y)由连续函数性质此引理易证，证明过程从略.引理2 在定理1的条件下此处c为某一常数，证明如前所述，αi，βj称为是相互接近的，如果i＞j或者两个中至少有一个是激波.两次利用引理1可以得到由传统的Glimm格式中波的局部相互作用估计可知其中当α=0，β=0时故由γ(α，0，0)=α，γ(0，β，0)=β可知当β=0时，方程(20)变为方程两边关于s求偏导令α=0，s=0我们得到方程(31)两边关于α求偏导，并且令α=0，s=0可以得到0＜θ＜1是对应中值定理的常数.由基本波的性质及可以将等式(32)化简为当α=0，s=0时可以得到同理可得因为(此时O(1)表示n×n×n的张量)，所以(34)和(35)即为αs，βs的系数由初值条件的充分小，可知GU(θUk，m-1)与GU(0)的可任意接近，当Uk，m-1充分小时，R-1(Uk，m-1)，R(Uk，m-1)可充分接近R-1(0)，R(0)，由Taylor展开式结合以上分析，等式(24)变为等式(36)两边左乘矩阵P-1，利用波的强度的新的定义方法，可知，存在一个正常数τ满足其中Mδ为P-1R-1(0)▽R(Uk，m-1)G(Uk，m-1)P在U=0邻域内的上确界，因为Uk，m充分小，故Mδ是一个小量，因此此处我们利用了下面的不等式c1，c2为正常数.由(40)可证引理结论.定义Glimm泛函为这里K为待定的充分大的正数.引理3 可以选取K充分大，使得L(J)充分小时，对任意的网格曲线J，满足J＞1时，F(J)可由F(I)控制，即证明由归纳法，我们只需考虑当J是I的直接后继时，结论成立.此时J和I之间夹有一个四边形我们定义由(22)，容易证明因此，L(J)充分小时联合以上各式，可得由(46)知可以选取K充分大，可使(44)成立.L(J)的充分小性可以归结为L(0)充分小，L(0)表示夹在t=0和t=s之间的网格曲线，可以进一步转化为对初值U0(x)的要求.引理3即为Glimm泛函的单调性.利用此性质，可以证明方程组(1)整体解的存在性.证明过程和传统的证明过程一样，算法收敛性及弱解定义证明也类似于传统的证明过程，这里从略.［参考文献］［1］ AMADORI D，GUERRA G.Global weak solutions for system of balance laws［J］.Appl.Math.Lett.，1999，12:123-127.［2］ DATERMOS C M.Hyperbolic conservation laws in continuum physics ［M］.2nd edn.，Springer:Heidelberg，2005.［3］ DAFERMOS C M.Hyperbolic systems of balance laws with weak dissipation［J］.Hyper.Differ.Equ.，2006，3:505-527.［4］ DING X，CHANG T，WANG J.et al.A study of the global solutions for a quasilinear hyperbolic system of conservation laws［J］.Scientia Sinica，1973，16:317-335.［5］ DAFERMOS C M，HSIAO L.Hyperbolic system of balance laws with inhomogeneity and dissipation［J］.Indiana U.J.Math.，1982，31:471-491. ［6］ GLIMM J.Solutions in the large for nonlinear hyperbolic system ofequations［J］.Comm.Pure Appl.Math.，1965，18:697 -715.［7］ GLIMM J，LAX P D.Decay of solutions of systems of nonlinear hyperbolic conservation laws［J］.Memoirs of America Mathmatical Society，1970，101:358-371.［8］ JENSSEN H K.Blowup for system of conservation laws，Society for Industrial and Applied Mathmatics［J］.J.Math.A-nal.，2000，31:894-908.。

具变指数黏弹性波动方程能量解的爆破

具变指数黏弹性波动方程能量解的爆破高云柱;孟秋;郭微【摘要】考虑一类具变指数黏弹性波动方程能量解的爆破性,通过构造能量函数研究能量函数的性质,并利用所得结果和Cauchy不等式、积分估计等,得到具变指数非线性波动方程能量解在有限时刻爆破的性质.%We considered the properties of blow-up of solutions of energy for a class of viscoelastic wave equations with variable-exponents . By constructing an energy function , we studied the properties of the energy function , and used the obtained results , Cauchy inequality and integral estimates to get the properties of blow-up of solutions of energy for a nonlinear wave equations with variable-exponents in finite time .【期刊名称】《吉林大学学报（理学版）》【年(卷),期】2018(056)003【总页数】5页(P503-507)【关键词】变指数;黏弹性波动方程;能量解;爆破性【作者】高云柱;孟秋;郭微【作者单位】北华大学数学与统计学院 ,吉林吉林132013;北华大学数学与统计学院 ,吉林吉林132013;北华大学数学与统计学院 ,吉林吉林132013【正文语种】中文【中图分类】O175.260 引言考虑下列具变指数非线性波动方程的初边值问题:(1)其中: Ω是N(N≥1)上的有界区域, 具有光滑的边界; α为非负常数; 指数函数p(x)和函数g(t)分别满足如下条件:(H1) p(x)是定义在上的可测函数, 使得∀(H2) g: +→+为C1函数, η为正常数, 满足当p为常数时, 关于问题(1)解的存在性和爆破性研究已有许多结果[1-5]. 近年来, 关于电磁流变学方面数学模型的研究受到广泛关注, 特别在变指数研究方面取得了许多结果[6-9]. 此外, 各种物理现象, 如一些波动模型、服从非线性Boltzmann模型的纵向运动控制系统出现的问题等模型, 也取得了一些研究结果[10-13].1 预备知识设p(x)满足条件(H1), 则变指数Legesgue空间Lp(·)(Ω)是指所有可测函数, 使得令则空间Lp(·)(Ω)赋予Luxemburg范数其为可分自反的Banach空间. Lp(x)(Ω)的对偶空间为Lp′(x)(Ω), 其中变指数Legesgue空间是Orlicz-Musielak空间[7]的特殊情形.对任何正整数k, 取Wk,p(x)(Ω)={u∈Lp(x)(Ω): Dαu∈Lp(x)(Ω), |α|≤k},Wk,p(x)(Ω)的范数定义为易知Wk,p(x)(Ω)也是一个Banach空间, 称其为特殊的广义Orlicz-Sobolev空间. 引理1[9] 设Φ∈C2([0,T))满足条件(2)Φ(t)≥0, Φ(0)>0,并且则(3)其中:且Φ(t)满足类似文献[11], 易得如下问题(1)能量解的存在性定理.定理1 设指数p(x)满足条件(H1), 则问题(1)至少存在一个弱解u: Ω×(0,∞)→, 使得2 主要结果首先, 定义解的能量函数如下:◇◇u+‖其中(g ◇u)(t)=g(t-τ)‖u(t)-记下面给出本文的主要结果, 即能量解的爆破性定理. 定理2 设若(H1),(H2)成立, 初始能量E(0)>0, 且满足则有式(3), 其中且Φ(t)满足证明: 对Φt(t)关于t求导得utt将方程(1)第一个式子两边同乘以u, 并在Ω上积分得即u(τ)(4)将方程(1)第一个式子两边同乘ut, 并在Ω上积分有即注意到对式(5)两边在(0,t)上积分得整理得其中◇结合式(4),(6)并注意到及Ψ(τ)dτ≥0, 经计算易得又因为所以从而得(7)比较式(2)和式(7), 可知于是由引理1知, 存在使得式(3)成立, 且满足参考文献【相关文献】[1] Cavalcanti M M, Domingos Cavalcanti V N, Soriano J A. Exponential Decay for the Solution of Semilinear Viscoelastic Wave Equations with Localized Damping [J]. Electron J Diff Equ, 2002, 2002(44): 227-262.[2] Cavalcanti M M, Oquendo H P. Frictional versus Viscoelastic Damping in a Semilinear Wave Equation [J]. SIAM J Control Optim, 2003, 42(4): 1310-1324.[3] 高云柱, 高文杰. 具强阻尼黏弹性波动方程组解的指数衰退 [J]. 吉林大学学报(理学版), 2010,48(3): 347-352. (GAO Yunzhu, GAO Wenjie. Exponential Decay of Solutions of a Viscoelastic Wave Equation with Strong Damping [J]. Journal of Jilin University (Science Edition), 2010, 48(3): 347-352.)[4] Messaoudi S A. Blow-Up of Positive-Intial-Energy Solutions of a Nonlinear Viscoelastic Hyperbolic Equation [J]. J Math Anal Appl, 2006, 320(2): 902-915.[5] Messaoudi S A. General Decay of the Solution Energy in a Viscoelastic Equation with a Nonlinear Source [J]. Nonlinear Anal, 2008, 69(8): 2589-2598.[6] Antontsev S, Zhikov V. Higher Integrability for Parabolic Equations of p(x,t)-Laplacian Type [J]. Adv Diff Equ, 2005, 10(9): 1053-1080.[7] GAO Yunzhu, GUO Bin, GAO Wenjie. Weak Solutions for a High-Order Pseudo-parabolic Equation with Variable Exponents [J]. Appl Anal, 2014, 93(2): 322-338.[8] CHEN Yunmei, Levine S, Rao M. Variable Exponent, Linear Growth Functionals in Image Restoration [J]. SIAM J Appl Math, 2006, 66(4): 1383-1406.[9] Korpusov M O. Non-existence of Global Solutions to Generalized Dissipative Klein-Gordon Equations with Positive Energy [J]. Electron J Diff Equ, 2012, 2012(119): 1-10. [10] GUO Bin, GAO Wenjie. Blow-Up of Solutions to Quasilinear Hyperbolic Equations with -Laplacian and Positive Initial Energy [J]. Compte s Rendus: Mécanique, 2014, 342(9): 513-519.[11] GAO Yunzhu, GAO Wenjie. Existence of Weak Solutions for Viscoelastic Hyperbolic Equations with Variable Exponents [J]. Bound Value Prob, 2013, 2013(1): 1-8.[12] Messaoudi S A, Talahmeh Ala A. A Blow-Up Result for a Nonlinear Wave Equation with Variable Exponent Nonlinearities [J]. Appl Anal, 2017, 96(9): 1509-1515.[13] GUO Bin. An Inverse Hölder Inequality and Its Application in Lower Bound Estimates for Blow-Up Time [J]. Comptes Rendus Mécanique, 2017, 345(6): 370-377.。

重要哲学术语英汉对照

重要哲学术语英汉对照——转载自《当代英美哲学概论》a priori瞐 posteriori distinction 先验-后验的区分abstract ideas 抽象理念abstract objects 抽象客体ad hominem argument 谬误论证alienation/estrangement 异化，疏离altruism 利他主义analysis 分析analytic瞫ynthetic distinction 分析-综合的区分aporia 困惑argument from design 来自设计的论证artificial intelligence (AI) 人工智能association of ideas 理念的联想autonomy 自律axioms 公理Categorical Imperative 绝对命令categories 范畴Category mistake 范畴错误causal theory of reference 指称的因果论causation 因果关系certainty 确定性chaos theory 混沌理论class 总纲、类clearness and distinctness 清楚与明晰cogito ergo sum 我思故我在concept 概念consciousness 意识consent 同意consequentialism 效果论conservative 保守的consistency 一致性，相容性constructivism 建构主义contents of consciousness 意识的内容contingent瞡ecessary distinction 偶然-必然的区分 continuum 连续体continuum hypothesis 连续性假说contradiction 矛盾（律）conventionalism 约定论counterfactual conditional 反事实的条件句criterion 准则，标准critique 批判，批评Dasein 此在，定在deconstruction 解构主义defeasible 可以废除的definite description 限定摹状词deontology 义务论dialectic 辩证法didactic 说教的dualism 二元论egoism 自我主义、利己主义eliminative materialism 消除性的唯物主义 empiricism 经验主义Enlightenment 启蒙运动（思想）entailment 蕴含essence 本质ethical intuition 伦理直观ethical naturalism 伦理的自然主义eudaimonia 幸福主义event 事件、事变evolutionary epistemology 进化认识论expert system 专门体系explanation 解释fallibilism 谬误论family resemblance 家族相似fictional entities 虚构的实体first philosophy 第一哲学form of life 生活形式formal 形式的foundationalism 基础主义free will and determinism 自由意志和决定论 function 函项（功能）function explanation 功能解释good 善happiness 幸福hedonism 享乐主义hermeneutics 解释学（诠释学，释义学）historicism 历史论（历史主义）holism 整体论iconographic 绘画idealism 理念论ideas 理念identity 同一性illocutionary act 以言行事的行为imagination 想象力immaterical substance 非物质实体immutable 不变的、永恒的individualism 个人主义（个体主义）induction 归纳inference 推断infinite regress 无限回归intensionality 内涵性intentionality 意向性irreducible 不可还原的Leibniz餾 Law 莱布尼茨法则logical atomism 逻辑原子主义logical positivism 逻辑实证主义logomachy 玩弄词藻的争论material biconditional 物质的双向制约materialism 唯物论（唯物主义）maxim 箴言，格言method 方法methodologica 方法论的model 样式modern 现代的modus ponens and modus tollens 肯定前件和否定后件 natural selection 自然选择necessary 必然的neutral monism 中立一无论nominalism 唯名论non睧uclidean geometry 非欧几里德几何non瞞onotonic logics 非单一逻辑Ockham餜azor 奥卡姆剃刀omnipotence and omniscience 全能和全知ontology 本体论（存有学）operator 算符(或算子)paradox 悖论perception 知觉phenomenology 现象学picture theory of meaning 意义的图像说pluralism 多元论polis 城邦possible world 可能世界postmodernism 后现代主义prescriptive statement 规定性陈述presupposition 预设primary and secondary qualities 第一性的质和第二性的质 principle of non瞔ontradiction 不矛盾律proposition 命题quantifier 量词quantum mechanics 量子力学rational numbers 有理数real number 实数realism 实在论reason 理性，理智recursive function 循环函数reflective equilibrium 反思的均衡relativity (theory of) 相对（论）rights 权利rigid designator严格的指称词Rorschach test 相对性（相对论）rule 规则rule utilitarianism 功利主义规则Russell餾 paradox 罗素悖论sanctions 制发scope 范围，限界semantics 语义学sense data 感觉材料，感觉资料set 集solipsism 唯我论social contract 社会契约subjective瞣bjective distinction 主客区分 sublation 扬弃substance 实体，本体sui generis 特殊的，独特性supervenience 偶然性syllogism 三段论things瞚n瞭hemselves 物自体thought 思想thought experiment 思想实验three瞯alued logic 三值逻辑transcendental 先验的truth 真理truth function 真值函项understanding 理解universals 共相，一般，普遍verfication principle 证实原则versimilitude 逼真性vicious regress 恶性回归Vienna Circle 维也纳学派virtue 美德注释计量经济学中英对照词汇(continuous)2007年8月23日，22:02:47 | mindreader计量经济学中英对照词汇(continuous)K-Means Cluster逐步聚类分析K means method, 逐步聚类法Kaplan-Meier, 评估事件的时间长度Kaplan-Merier chart, Kaplan-Merier图Kendall's rank correlation, Kendall等级相关Kinetic, 动力学Kolmogorov-Smirnove test, 柯尔莫哥洛夫-斯米尔诺夫检验Kruskal and Wallis test, Kruskal及Wallis检验/多样本的秩和检验/H检验Kurtosis, 峰度Lack of fit, 失拟Ladder of powers, 幂阶梯Lag, 滞后Large sample, 大样本Large sample test, 大样本检验Latin square, 拉丁方Latin square design, 拉丁方设计Leakage, 泄漏Least favorable configuration, 最不利构形Least favorable distribution, 最不利分布Least significant difference, 最小显著差法Least square method, 最小二乘法Least Squared Criterion，最小二乘方准则Least-absolute-residuals estimates, 最小绝对残差估计Least-absolute-residuals fit, 最小绝对残差拟合Least-absolute-residuals line, 最小绝对残差线Legend, 图例L-estimator, L估计量L-estimator of location, 位置L估计量L-estimator of scale, 尺度L估计量Level, 水平Leveage Correction，杠杆率校正Life expectance, 预期期望寿命Life table, 寿命表Life table method, 生命表法Light-tailed distribution, 轻尾分布Likelihood function, 似然函数Likelihood ratio, 似然比line graph, 线图Linear correlation, 直线相关Linear equation, 线性方程Linear programming, 线性规划Linear regression, 直线回归Linear Regression, 线性回归Linear trend, 线性趋势Loading, 载荷Location and scale equivariance, 位置尺度同变性Location equivariance, 位置同变性Location invariance, 位置不变性Location scale family, 位置尺度族Log rank test, 时序检验Logarithmic curve, 对数曲线Logarithmic normal distribution, 对数正态分布Logarithmic scale, 对数尺度Logarithmic transformation, 对数变换Logic check, 逻辑检查Logistic distribution, 逻辑斯特分布Logit transformation, Logit转换LOGLINEAR, 多维列联表通用模型Lognormal distribution, 对数正态分布Lost function, 损失函数Low correlation, 低度相关Lower limit, 下限Lowest-attained variance, 最小可达方差LSD, 最小显著差法的简称Lurking variable, 潜在变量Main effect, 主效应Major heading, 主辞标目Marginal density function, 边缘密度函数Marginal probability, 边缘概率Marginal probability distribution, 边缘概率分布Matched data, 配对资料Matched distribution, 匹配过分布Matching of distribution, 分布的匹配Matching of transformation, 变换的匹配Mathematical expectation, 数学期望Mathematical model, 数学模型Maximum L-estimator, 极大极小L 估计量Maximum likelihood method, 最大似然法Mean, 均数Mean squares between groups, 组间均方Mean squares within group, 组内均方Means (Compare means), 均值-均值比较Median, 中位数Median effective dose, 半数效量Median lethal dose, 半数致死量Median polish, 中位数平滑Median test, 中位数检验Minimal sufficient statistic, 最小充分统计量Minimum distance estimation, 最小距离估计Minimum effective dose, 最小有效量Minimum lethal dose, 最小致死量Minimum variance estimator, 最小方差估计量MINITAB, 统计软件包Minor heading, 宾词标目Missing data, 缺失值Model specification, 模型的确定Modeling Statistics , 模型统计Models for outliers, 离群值模型Modifying the model, 模型的修正Modulus of continuity, 连续性模Morbidity, 发病率Most favorable configuration, 最有利构形MSC（多元散射校正）Multidimensional Scaling (ASCAL), 多维尺度/多维标度Multinomial Logistic Regression , 多项逻辑斯蒂回归Multiple comparison, 多重比较Multiple correlation , 复相关Multiple covariance, 多元协方差Multiple linear regression, 多元线性回归Multiple response , 多重选项Multiple solutions, 多解Multiplication theorem, 乘法定理Multiresponse, 多元响应Multi-stage sampling, 多阶段抽样Multivariate T distribution, 多元T分布Mutual exclusive, 互不相容Mutual independence, 互相独立Natural boundary, 自然边界Natural dead, 自然死亡Natural zero, 自然零Negative correlation, 负相关Negative linear correlation, 负线性相关Negatively skewed, 负偏Newman-Keuls method, q检验NK method, q检验No statistical significance, 无统计意义Nominal variable, 名义变量Nonconstancy of variability, 变异的非定常性Nonlinear regression, 非线性相关Nonparametric statistics, 非参数统计Nonparametric test, 非参数检验Nonparametric tests, 非参数检验Normal deviate, 正态离差Normal distribution, 正态分布Normal equation, 正规方程组Normal P-P, 正态概率分布图Normal Q-Q, 正态概率单位分布图Normal ranges, 正常范围Normal value, 正常值Normalization 归一化Nuisance parameter, 多余参数/讨厌参数Null hypothesis, 无效假设Numerical variable, 数值变量Objective function, 目标函数Observation unit, 观察单位Observed value, 观察值One sided test, 单侧检验One-way analysis of variance, 单因素方差分析Oneway ANOVA , 单因素方差分析Open sequential trial, 开放型序贯设计Optrim, 优切尾Optrim efficiency, 优切尾效率Order statistics, 顺序统计量Ordered categories, 有序分类Ordinal logistic regression , 序数逻辑斯蒂回归Ordinal variable, 有序变量Orthogonal basis, 正交基Orthogonal design, 正交试验设计Orthogonality conditions, 正交条件ORTHOPLAN, 正交设计Outlier cutoffs, 离群值截断点Outliers, 极端值OVERALS , 多组变量的非线性正规相关Overshoot, 迭代过度Paired design, 配对设计Paired sample, 配对样本Pairwise slopes, 成对斜率Parabola, 抛物线Parallel tests, 平行试验Parameter, 参数Parametric statistics, 参数统计Parametric test, 参数检验Pareto, 直条构成线图（又称佩尔托图）Partial correlation, 偏相关Partial regression, 偏回归Partial sorting, 偏排序Partials residuals, 偏残差Pattern, 模式PCA（主成分分析）Pearson curves, 皮尔逊曲线Peeling, 退层Percent bar graph, 百分条形图Percentage, 百分比Percentile, 百分位数Percentile curves, 百分位曲线Periodicity, 周期性Permutation, 排列P-estimator, P估计量Pie graph, 构成图,饼图Pitman estimator, 皮特曼估计量Pivot, 枢轴量Planar, 平坦Planar assumption, 平面的假设PLANCARDS, 生成试验的计划卡PLS（偏最小二乘法）Point estimation, 点估计Poisson distribution, 泊松分布Polishing, 平滑Polled standard deviation, 合并标准差Polled variance, 合并方差Polygon, 多边图Polynomial, 多项式Polynomial curve, 多项式曲线Population, 总体Population attributable risk, 人群归因危险度Positive correlation, 正相关Positively skewed, 正偏Posterior distribution, 后验分布Power of a test, 检验效能Precision, 精密度Predicted value, 预测值Preliminary analysis, 预备性分析Principal axis factoring,主轴因子法Principal component analysis, 主成分分析Prior distribution, 先验分布Prior probability, 先验概率Probabilistic model, 概率模型probability, 概率Probability density, 概率密度Product moment, 乘积矩/协方差Pro, 截面迹图Proportion, 比/构成比Proportion allocation in stratified random sampling, 按比例分层随机抽样Proportionate, 成比例Proportionate sub-class numbers, 成比例次级组含量Prospective study, 前瞻性调查Proximities, 亲近性Pseudo F test, 近似F检验Pseudo model, 近似模型Pseudosigma, 伪标准差Purposive sampling, 有目的抽样QR decomposition, QR分解Quadratic approximation, 二次近似Qualitative classification, 属性分类Qualitative method, 定性方法Quantile-quantile plot, 分位数-分位数图/Q-Q图Quantitative analysis, 定量分析Quartile, 四分位数Quick Cluster, 快速聚类Radix sort, 基数排序Random allocation, 随机化分组Random blocks design, 随机区组设计Random event, 随机事件Randomization, 随机化Range, 极差/全距Rank correlation, 等级相关Rank sum test, 秩和检验Rank test, 秩检验Ranked data, 等级资料Rate, 比率Ratio, 比例Raw data, 原始资料Raw residual, 原始残差Rayleigh's test, 雷氏检验Rayleigh's Z, 雷氏Z值Reciprocal, 倒数Reciprocal transformation, 倒数变换Recording, 记录Redescending estimators, 回降估计量Reducing dimensions, 降维Re-expression, 重新表达Reference set, 标准组Region of acceptance, 接受域Regression coefficient, 回归系数Regression sum of square, 回归平方和Rejection point, 拒绝点Relative dispersion, 相对离散度Relative number, 相对数Reliability, 可靠性Reparametrization, 重新设置参数Replication, 重复Report Summaries, 报告摘要Residual sum of square, 剩余平方和residual variance (剩余方差)Resistance, 耐抗性Resistant line, 耐抗线Resistant technique, 耐抗技术R-estimator of location, 位置R估计量R-estimator of scale, 尺度R估计量Retrospective study, 回顾性调查Ridge trace, 岭迹Ridit analysis, Ridit分析Rotation, 旋转Rounding, 舍入Row, 行Row effects, 行效应Row factor, 行因素RXC table, RXC表Sample, 样本Sample regression coefficient, 样本回归系数Sample size, 样本量Sample standard deviation, 样本标准差Sampling error, 抽样误差SAS(Statistical analysis system , SAS统计软件包Scale, 尺度/量表Scatter diagram, 散点图Schematic plot, 示意图/简图Score test, 计分检验Screening, 筛检SEASON, 季节分析Second derivative, 二阶导数Second principal component, 第二主成分SEM (Structural equation modeling), 结构化方程模型Semi-logarithmic graph, 半对数图Semi-logarithmic paper, 半对数格纸Sensitivity curve, 敏感度曲线Sequential analysis, 贯序分析Sequence, 普通序列图Sequential data set, 顺序数据集Sequential design, 贯序设计Sequential method, 贯序法Sequential test, 贯序检验法Serial tests, 系列试验Short-cut method, 简捷法Sigmoid curve, S形曲线Sign function, 正负号函数Sign test, 符号检验Signed rank, 符号秩Significant Level, 显著水平Significance test, 显著性检验Significant figure, 有效数字Simple cluster sampling, 简单整群抽样Simple correlation, 简单相关Simple random sampling, 简单随机抽样Simple regression, 简单回归simple table, 简单表Sine estimator, 正弦估计量Single-valued estimate, 单值估计Singular matrix, 奇异矩阵Skewed distribution, 偏斜分布Skewness, 偏度Slash distribution, 斜线分布Slope, 斜率Smirnov test, 斯米尔诺夫检验Source of variation, 变异来源Spearman rank correlation, 斯皮尔曼等级相关Specific factor, 特殊因子Specific factor variance, 特殊因子方差Spectra , 频谱Spherical distribution, 球型正态分布Spread, 展布SPSS(Statistical package for the social science), SPSS统计软件包Spurious correlation, 假性相关Square root transformation, 平方根变换Stabilizing variance, 稳定方差Standard deviation, 标准差Standard error, 标准误Standard error of difference, 差别的标准误Standard error of estimate, 标准估计误差Standard error of rate, 率的标准误Standard normal distribution, 标准正态分布Standardization, 标准化Starting value, 起始值Statistic, 统计量Statistical control, 统计控制Statistical graph, 统计图Statistical inference, 统计推断Statistical table, 统计表Steepest descent, 最速下降法Stem and leaf display, 茎叶图Step factor, 步长因子Stepwise regression, 逐步回归Storage, 存Strata, 层（复数）Stratified sampling, 分层抽样Stratified sampling, 分层抽样Strength, 强度Stringency, 严密性Structural relationship, 结构关系Studentized residual, 学生化残差/t化残差Sub-class numbers, 次级组含量Subdividing, 分割Sufficient statistic, 充分统计量Sum of products, 积和Sum of squares, 离差平方和Sum of squares about regression, 回归平方和Sum of squares between groups, 组间平方和Sum of squares of partial regression, 偏回归平方和Sure event, 必然事件Survey, 调查Survival, 生存分析Survival rate, 生存率Suspended root gram, 悬吊根图Symmetry, 对称Systematic error, 系统误差Systematic sampling, 系统抽样Tags, 标签Tail area, 尾部面积Tail length, 尾长Tail weight, 尾重Tangent line, 切线Target distribution, 目标分布Taylor series, 泰勒级数Test(检验)Test of linearity, 线性检验Tendency of dispersion, 离散趋势Testing of hypotheses, 假设检验Theoretical frequency, 理论频数Time series, 时间序列Tolerance interval, 容忍区间Tolerance lower limit, 容忍下限Tolerance upper limit, 容忍上限Torsion, 扰率Total sum of square, 总平方和Total variation, 总变异Transformation, 转换Treatment, 处理Trend, 趋势Trend of percentage, 百分比趋势Trial, 试验Trial and error method, 试错法Tuning constant, 细调常数Two sided test, 双向检验Two-stage least squares, 二阶最小平方Two-stage sampling, 二阶段抽样Two-tailed test, 双侧检验Two-way analysis of variance, 双因素方差分析Two-way table, 双向表Type I error, 一类错误/α错误Type II error, 二类错误/β错误UMVU, 方差一致最小无偏估计简称Unbiased estimate, 无偏估计Unconstrained nonlinear regression , 无约束非线性回归Unequal subclass number, 不等次级组含量Ungrouped data, 不分组资料Uniform coordinate, 均匀坐标Uniform distribution, 均匀分布Uniformly minimum variance unbiased estimate, 方差一致最小无偏估计Unit, 单元Unordered categories, 无序分类Unweighted least squares, 未加权最小平方法Upper limit, 上限Upward rank, 升秩Vague concept, 模糊概念Validity, 有效性VARCOMP (Variance component estimation), 方差元素估计Variability, 变异性Variable, 变量Variance, 方差Variation, 变异Varimax orthogonal rotation, 方差最大正交旋转Volume of distribution, 容积W test, W检验Weibull distribution, 威布尔分布Weight, 权数Weighted Chi-square test, 加权卡方检验/Cochran检验Weighted linear regression method, 加权直线回归Weighted mean, 加权平均数Weighted mean square, 加权平均方差Weighted sum of square, 加权平方和Weighting coefficient, 权重系数Weighting method, 加权法W-estimation, W估计量W-estimation of location, 位置W估计量Width, 宽度Wilcoxon paired test, 威斯康星配对法/配对符号秩和检验Wild point, 野点/狂点Wild value, 野值/狂值Winsorized mean, 缩尾均值Withdraw, 失访Youden's index, 尤登指数Z test, Z检验Zero correlation, 零相关Z-transformation, Z变换注释。

q开头关于数学的英语单词

q开头关于数学的英语单词1. Quadratic equation（二次方程）2. Quantity（数量）3. Quadrilateral（四边形）4. Quotient（商）5. Quaternion（四元数）6. Quadrant（象限）7. Quartile（四分位数）8. Quinary（五进制的）9. Qubit（量子位）10. Quotient rule（商法则）11. Quasigroup（拟群）12. Quotient group（商群）13. Quick sort（快速排序）14. Quotient space（商空间）15. Quadrature（积分）16. Quincunx（六点定则）17. Quiver（箭头图）18. Quasi-isomorphism（拟同构）19. Quotient ring（商环）20. Quasilinear（拟线性的）21. Quadratic form（二次型）22. Quaternionic analysis（四元数分析）23. Quotient set（商集）24. Quotient topology（商拓扑）25. Quotient space（商空间）26. Quotient field（商域）27. Quotient module（商模）28. Quotient map（商映射）29. Quaternion group（四元数群）30. Quasicrystal（准晶体）31. Quasi-concave（拟凹）32. Quasi-linearization（拟线性化）33. Quasi-periodic（拟周期的）34. Quasipolynomial（拟多项式）35. Quasi-stationary（拟静态的）36. Quasisymmetric（拟对称的）37. Quasitopological（拟拓扑的）38. Quadratic mean（均方根）39. Quotient function（商函数）40. Quasiconformal（拟保形的）41. Quasigroupoid（拟群oid）42. Quasiregular（拟正则的）43. Quotient property（商性质）44. Quotient sequence（商序列）45. Quasidifferential（拟微分的）46. Quasiconvex（拟凸的）47. Quotient space（商空间）48. Quasilinear partial differential equation（拟线性偏微分方程）49. Quasivariety（拟变种）50. Quasi-Newton method（拟牛顿法）51. Quadrature formula（求积公式）52. Quotient matrix（商矩阵）53. Quaternary numeral system（四进制数制）54. Quasipolynomial time（拟多项式时间）55. Quasi-homomorphism（拟同态）56. Quasi-isometry（拟等距）57. Quadrature method（求积方法）58. Quasilinearization method（拟线性化方法）59. Quasiperiodic function（拟周期函数）60. Quasirandom number（拟随机数）61. Quasiconvex optimization（拟凸优化）62. Quasiconformal mapping（拟保形映射）63. Quasitopological space（拟拓扑空间）64. Quasiregular mapping（拟正则映射）65. Quasilinear diffusion equation（拟线性扩散方程）66. Quasilinearity principle（拟线性原理）67. Quadratic programming（二次规划）68. Quasiparticle（拟粒子）69. Quasiprime（拟素数）70. Quaternionic algebra（四元数代数）71. Quadrature rule（求积规则）72. Quasigeodesic（拟测地线）73. Quasiconvex function（拟凸函数）74. Quasitriangular algebra（拟三角代数）75. Quadratic residue（二次剩余）76. Quasipolynomial algorithm（拟多项式算法）77. Quasigroup identity（拟群恒等式）78. Quasigeostrophic model（拟地转模型）79. Quasilinear elliptic equation（拟线性椭圆方程）80. Quasistatic process（拟静态过程）81. Quadratic formula（二次公式）82. Quasiperiodicity theorem（拟周期定理）83. Quasimetric space（拟度量空间）84. Quadrilateral mesh（四边形网格）85. Quasilinear parabolic equation（拟线性抛物方程）86. Quasilinear elliptic operator（拟线性椭圆算子）87. Quadrature points（求积点）88. Quadrature weights（求积权重）89. Quasiperiodic tiling（拟周期镶嵌）90. Quasiconformal deformation（拟保形变形）91. Quasilinear hyperbolic equation（拟线性双曲方程）92. Quadratic reciprocity（二次互反律）93. Quasiconvex analysis（拟凸分析）94. Quasilinear second-order PDE（拟线性二阶偏微分方程）95. Quasilinear parabolic PDE（拟线性抛物型偏微分方程）96. Quadrature-based moment method（基于求积的矩方法）97. Quasilinear transport equation（拟线性输运方程）98. Quasi-stationary distribution（拟稳态分布）99. Quasilinear wave equation（拟线性波动方程）100. Quadratic sieve（二次筛法）。

流体力学英语词汇翻译（1）

流体力学英语词汇翻译(1)流体动力学 fluid dynamics连续介质力学 mechanics of continuous media介质 medium流体质点 fluid particle无粘性流体 nonviscous fluid, inviscid fluid连续介质假设 continuous medium hypothesis流体运动学 fluid kinematics水静力学 hydrostatics液体静力学 hydrostatics支配方程 governing equation伯努利方程 bernoulli equation伯努利定理 bernonlli theorem毕奥-萨伐尔定律 biot-savart law欧拉方程 euler equation亥姆霍兹定理 helmholtz theorem开尔文定理 kelvin theorem涡片 vortex sheet库塔-茹可夫斯基条件 kutta-zhoukowski condition 布拉休斯解 blasius solution达朗贝尔佯廖 d'alembert paradox雷诺数 reynolds number施特鲁哈尔数 strouhal number随体导数 material derivative不可压缩流体 incompressible fluid质量守恒 conservation of mass动量守恒 conservation of momentum能量守恒 conservation of energy动量方程 momentum equation能量方程 energy equation控制体积 control volume液体静压 hydrostatic pressure 涡量拟能 enstrophy压差 differential pressure流[动] flow流线 stream line流面 stream surface流管 stream tube迹线 path, path line流场 flow field流态 flow regime流动参量 flow parameter流量 flow rate, flow discharge 涡旋 vortex涡量 vorticity涡丝 vortex filament涡线 vortex line涡面 vortex surface涡层 vortex layer涡环 vortex ring涡对 vortex pair涡管 vortex tube涡街 vortex street卡门涡街 karman vortex street 马蹄涡 horseshoe vortex对流涡胞 convective cell卷筒涡胞 roll cell涡 eddy涡粘性 eddy viscosity环流 circulation环量 circulation速度环量 velocity circulation偶极子 doublet, dipole驻点 stagnation point总压[力] total pressure总压头 total head静压头 static head总焓 total enthalpy能量输运 energy transport速度剖面 velocity profile库埃特流 couette flow单相流 single phase flow单组份流 single-component flow均匀流 uniform flow非均匀流 nonuniform flow二维流 two-dimensional flow三维流 three-dimensional flow准定常流 quasi-steady flow非定常流 unsteady flow, non-steady flow 暂态流 transient flow周期流 periodic flow振荡流 oscillatory flow分层流 stratified flow无旋流 irrotational flow有旋流 rotational flow轴对称流 axisymmetric flow不可压缩性 incompressibility不可压缩流[动] incompressible flow浮体 floating body定倾中心 metacenter阻力 drag, resistance减阻 drag reduction表面力 surface force表面张力 surface tension毛细[管]作用 capillarity来流 incoming flow自由流 free stream自由流线 free stream line外流 external flow进口 entrance, inlet出口 exit, outlet扰动 disturbance, perturbation分布 distribution传播 propagation色散 dispersion弥散 dispersion附加质量 added mass ,associated mass 收缩 contraction镜象法 image method无量纲参数 dimensionless parameter 几何相似 geometric similarity运动相似 kinematic similarity动力相似[性] dynamic similarity平面流 plane flow势 potential势流 potential flow速度势 velocity potential复势 complex potential复速度 complex velocity流函数 stream function源 source汇 sink速度[水]头 velocity head拐角流 corner flow空泡流 cavity flow超空泡 supercavity超空泡流 supercavity flow空气动力学 aerodynamics低速空气动力学 low-speed aerodynamics 高速空气动力学 high-speed aerodynamics 气动热力学 aerothermodynamics亚声速流[动] subsonic flow跨声速流[动] transonic flow超声速流[动] supersonic flow锥形流 conical flow楔流 wedge flow叶栅流 cascade flow非平衡流[动] non-equilibrium flow细长体 slender body细长度 slenderness钝头体 bluff body钝体 blunt body翼型 airfoil翼弦 chord薄翼理论 thin-airfoil theory构型 configuration后缘 trailing edge迎角 angle of attack失速 stall脱体激波 detached shock wave波阻 wave drag诱导阻力 induced drag诱导速度 induced velocity临界雷诺数 critical reynolds number前缘涡 leading edge vortex附着涡 bound vortex约束涡 confined vortex气动中心 aerodynamic center气动力 aerodynamic force气动噪声 aerodynamic noise气动加热 aerodynamic heating离解 dissociation地面效应 ground effect气体动力学 gas dynamics稀疏波 rarefaction wave热状态方程 thermal equation of state喷管 nozzle普朗特-迈耶流 prandtl-meyer flow瑞利流 rayleigh flow可压缩流[动] compressible flow可压缩流体 compressible fluid绝热流 adiabatic flow非绝热流 diabatic flow未扰动流 undisturbed flow等熵流 isentropic flow匀熵流 homoentropic flow兰金-于戈尼奥条件 rankine-hugoniot condition 状态方程 equation of state量热状态方程 caloric equation of state完全气体 perfect gas拉瓦尔喷管 laval nozzle马赫角 mach angle马赫锥 mach cone马赫线 mach line马赫数 mach number马赫波 mach wave当地马赫数 local mach number 冲击波 shock wave激波 shock wave正激波 normal shock wave斜激波 oblique shock wave头波 bow wave附体激波 attached shock wave 激波阵面 shock front激波层 shock layer压缩波 compression wave反射 reflection折射 refraction散射 scattering衍射 diffraction绕射 diffraction出口压力 exit pressure超压[强] over pressure反压 back pressure爆炸 explosion爆轰 detonation缓燃 deflagration水动力学 hydrodynamics液体动力学 hydrodynamics泰勒不稳定性 taylor instability盖斯特纳波 gerstner wave斯托克斯波 stokes wave瑞利数 rayleigh number自由面 free surface波速 wave speed, wave velocity 波高 wave height波列 wave train波群 wave group波能 wave energy表面波 surface wave表面张力波 capillary wave规则波 regular wave不规则波 irregular wave浅水波 shallow water wave深水波 deep water wave重力波 gravity wave椭圆余弦波 cnoidal wave潮波 tidal wave涌波 surge wave破碎波 breaking wave船波 ship wave非线性波 nonlinear wave孤立子 soliton水动[力]噪声 hydrodynamic noise 水击 water hammer空化 cavitation空化数 cavitation number空蚀 cavitation damage超空化流 supercavitating flow水翼 hydrofoil水力学 hydraulics洪水波 flood wave涟漪 ripple消能 energy dissipation海洋水动力学 marine hydrodynamics 谢齐公式 chezy formula欧拉数 euler number弗劳德数 froude number水力半径 hydraulic radius水力坡度 hvdraulic slope高度水头 elevating head水头损失 head loss水位 water level水跃 hydraulic jump含水层 aquifer排水 drainage排放量 discharge壅水曲线 back water curve压[强水]头 pressure head过水断面 flow cross-section明槽流 open channel flow孔流 orifice flow无压流 free surface flow有压流 pressure flow缓流 subcritical flow急流 supercritical flow渐变流 gradually varied flow急变流 rapidly varied flow临界流 critical flow异重流 density current, gravity flow堰流 weir flow掺气流 aerated flow含沙流 sediment-laden stream降水曲线 dropdown curve沉积物 sediment, deposit沉[降堆]积 sedimentation, deposition沉降速度 settling velocity流动稳定性 flow stability不稳定性 instability奥尔-索末菲方程 orr-sommerfeld equation 涡量方程 vorticity equation泊肃叶流 poiseuille flow奥辛流 oseen flow剪切流 shear flow粘性流[动] viscous flow层流 laminar flow分离流 separated flow二次流 secondary flow近场流 near field flow远场流 far field flow滞止流 stagnation flow尾流 wake [flow]回流 back flow反流 reverse flow射流 jet自由射流 free jet管流 pipe flow, tube flow内流 internal flow拟序结构 coherent structure猝发过程 bursting process表观粘度 apparent viscosity运动粘性 kinematic viscosity动力粘性 dynamic viscosity泊 poise厘泊 centipoise厘沱 centistoke剪切层 shear layer次层 sublayer流动分离 flow separation层流分离 laminar separation湍流分离 turbulent separation分离点 separation point附着点 attachment point再附 reattachment再层流化 relaminarization起动涡 starting vortex驻涡 standing vortex涡旋破碎 vortex breakdown涡旋脱落 vortex shedding压[力]降 pressure drop压差阻力 pressure drag压力能 pressure energy型阻 profile drag滑移速度 slip velocity无滑移条件 non-slip condition壁剪应力 skin friction, frictional drag 壁剪切速度 friction velocity磨擦损失 friction loss磨擦因子 friction factor耗散 dissipation滞后 lag相似性解 similar solution局域相似 local similarity气体润滑 gas lubrication液体动力润滑 hydrodynamic lubrication 浆体 slurry泰勒数 taylor number纳维-斯托克斯方程 navier-stokes equation 牛顿流体 newtonian fluid边界层理论 boundary later theory边界层方程 boundary layer equation边界层 boundary layer附面层 boundary layer层流边界层 laminar boundary layer湍流边界层 turbulent boundary layer温度边界层 thermal boundary layer边界层转捩 boundary layer transition边界层分离 boundary layer separation边界层厚度 boundary layer thickness位移厚度 displacement thickness。

偏微分方程式之求解

第六章偏微分方程式之求解在化工的领域中，有不少程序之动态是由以偏微分方程式(Partial differential equation ；PDE)所描述的，例如热与质量在空间中的传递等。

这些用以描述实际问题的PDE ，除非具有某些特定的方程式型态及条件，否则甚难以手算的方式找出解析解。

而在数值求解方面，最常被采用的方法为有限差分法(finitedifference)何有限元素法(finite element)。

然对于某些不熟悉数值分析及程序编写的化工人而言，欲充分了解以偏微分方程式所描述之系统动态是相当不容易的，更遑论进一步的设计与分析了。

值得庆幸的是，MATLAB 的环境中提供了一个求解PDE 问题的工具箱，让使用者得以利用简单的指令或图形接口工具输入欲解的PDE ，并求解。

使得PDE 之数值解在弹指之间完成，使用者不在为数值法所苦恼，轻松掌握偏微分方程式系统的动态，并可进一步进行后续之设计工作。

本章将以循渐进的方式，介绍PDE 工具箱及其用法，并以数个典型的化工范例进行示范，期能使初学者很快熟悉PDE 工具箱，并使用它来设计与分析以偏微方方程式所描述的程序系统。

6.1 偏微分方程式之分类偏微分方程式可根据其阶数(order)，线性或非线性型态，以及边界条件进行分类。

6.1.1依阶数的分类偏微分方程式是以偏微分项中之最高次偏微分来定义其阶数，例如：一阶偏微分方程式： 0=∂∂+∂∂yu x u 二阶偏微分方程式：032222=∂∂+⎪⎭⎫ ⎝⎛∂∂+∂∂+∂∂y ux u y u x u 三阶偏微分方程式：02233=∂∂+∂∂+∂∂∂+⎪⎪⎭⎫ ⎝⎛∂∂y ux u y x u x u6.1.2 依非线性程度分类偏微分方程式亦可以其线性或非线性情况，区分为线性(linear)，似线性(quasilinear)，以及非线性三类。

例如，以下之二阶偏微分方程式(Constantinides and Mostoufi,1999)0)()()()(22222=⋅+∂∂⋅+∂∂∂⋅+∂∂⋅d x u c y x u b y u a可依系数)(⋅之情况，进行如下表之归类类别情况线性系数)(⋅为定值，或仅为(x,y)函数似线性系数)(⋅为依变数(dependent variable)u 或其比方程式中之偏微分低阶之偏微分项的函数，如),,,,()(y u x u u y x ∂∂∂=⋅非线性系数)(⋅中，具有与原方程式之偏微分同阶数之变数，如),,,,,()(22222y x u y u x u u y x ∂∂∂∂∂∂∂=⋅另外，对于线性二阶偏微分方程式，可进一步将其分类为椭圆型(elliptic)，拋物线型(parabolic)，以及双曲线型(hyperbolic)。

有限族非扩张映象的公共不动点的具误差和具扰动映射的迭代程序(英文)

有限族非扩张映象的公共不动点的具误差和具扰动映射的迭代
程序(英文)
王亚琴
【期刊名称】《应用数学》
【年(卷),期】2007(20)4
【摘要】本文在实一致凸和q-一致光滑Banach空间中研究了一类新的有限族非扩张映象的公共不动点的具误差和具扰动映射的显式迭代程序并且得到了一些收敛性定理.特别地,获得了该显式迭代程序强收敛性的充要条件.本文所得到结果推广了文[1]中的相应结果.
【总页数】7页(P801-807)
【关键词】非扩张映射;具误差和具振动映射的显式迭代程序;Opial条件;公共不动点;半紧性;全连续
【作者】王亚琴
【作者单位】上海师范大学数理信息学院
【正文语种】中文
【中图分类】O177.91
【相关文献】
1.p-几乎渐近非扩张型映象不动点具随机误差的迭代逼近 [J], 王俊明;陈建领
2.渐近非扩张映象不动点具误差的迭代逼近 [J], 王焕许
3.有限族渐近非扩张映象具误差的隐迭代序列的弱收敛性与强收敛性 [J], 杨理平; 余扬
4.渐近非扩张映像族公共不动点具误差一般复合隐格式迭代算法 [J], 郭金题;陆爱霞
5.非扩张映象有限族的公共不动点的隐式迭代方法(英文) [J], 王亚琴
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